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\af1\afs22 \ltrch \f1\fs22\insrsid209996 \par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid16463859\charrsid4934485 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar \tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls1\adjustright\rin0\lin0\itap0\pararsid16463859 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 Calculate areas of rectangles and triangles. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid16463859\charrsid4934485 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar \tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls1\adjustright\rin0\lin567\itap0\pararsid16463859 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 Calculate areas of compound shapes composed from rectangles and triangles. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid16463859\charrsid4934485 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar \tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls1\adjustright\rin0\lin0\itap0\pararsid16463859 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 Interpret area units. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16463859 {\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid16463859\charrsid209996 \par What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid16463859\charrsid209996 : \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9404247\charrsid4934485 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid16463859\charrsid209996 Calculate areas of rectangles and triangles. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid209996 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 To calculate the area of a rectangle we multiply the length by the width. (Notice that the words }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid16463859\charrsid209996 breadth}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 , }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid16463859\charrsid209996 width}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 , }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid16463859\charrsid209996 depth}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 and so on can be used interchangeably \endash we just multiply the two side lengths).}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid4934485 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid16463859\charrsid4934485 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li1080\ri0\widctlpar \tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\ilvl1\adjustright\rin0\lin1080\itap0\pararsid16463859 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 The units for area will always be something squared e. g. mm\'b2, cm\'b2, m\'b2 etc. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid16463859\charrsid4934485 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Make sure the 2 side lengths have the same units. 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\li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid16463859\yts24 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996\charrsid209996 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 \par }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid209996 Work out the area of this wooden panel:}{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid209996\charrsid209996 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 \par }{\rtlch \af36 \ltrch \lang1024\langfe1024\noproof\langfenp2057\insrsid2042609 {\shp{\*\shpinst\shpleft6241\shptop27\shpright8386\shpbottom822\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz0\shplid1026 {\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 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30636d003200320032002c004e000d000000320aa90134050100040024049b0174050d0220002d00040000002701ffff040000002d010300040000002d010500070000001b0401015f0151000000040000002d010400040000002d010200030000001e00070000001604e10022016f003c00050000000201010000000400 00002d0101000500000009020000000211000000320a7d003c00040004003c006f002101e100302e386d3200190032004e000d000000320a7d000701010004003c006f002101e10020002d00040000002701ffff040000002d010000030000000000}{\result {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid6555720\charrsid4934485 {\pict{\*\picprop\shplid1025{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}} {\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}} {\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0 \picw8758\pich2355\picwgoal4965\pichgoal1335\wmetafile8\bliptag-882143393\blipupi-473{\*\blipuid cb6b8f5f2cb881755c6fe61bdd3487d1} 0100090000036c01000006001c00000000001400000026060f001e00ffffffff040014000000576f72640e004d6963726f736f667420576f7264050000000b02 00000000050000000c022c0215081c000000fb021000070000000000bc02000000000102022253797374656d000000000a0026008a0100000000ffffffff3cd0 1300b9c1c777040000002d010000050000000201010000001c000000fb029cff0000000000009001000000000440001254696d6573204e657720526f6d616e00 b7c5c777c0c5c77720c0ca7700003000040000002d010100050000000902000000020d000000320a0d000000010004000000000015082c0220632d0007000000 fc020000ffffff000000040000002d01020008000000fa0200000600000000000002040000002d010300070000001b0465010f080000640107000000fc020000 ffffff000000040000002d01040004000000f001020008000000fa0200000000000000000000040000002d01020004000000f001030007000000fc0201000000 00000000040000002d01030008000000fa0205000100000000000000040000002d010500070000001b042d02b1057d01e803040000002d010400040000002d01 0200030000001e000700000016040d0275059b0124040500000002010100000013000000320aa90124040500040024049b0174050d02333230636d0032003200 32002c004e000d000000320aa90134050100040024049b0174050d0220002d00040000002701ffff040000002d010300040000002d010500070000001b040101 5f0151000000040000002d010400040000002d010200030000001e00070000001604e10022016f003c0005000000020101000000040000002d01010005000000 09020000000211000000320a7d003c00040004003c006f002101e100302e386d3200190032004e000d000000320a7d000701010004003c006f002101e10020002d00040000002701ffff040000002d010000030000000000}}}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 \par \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996 Solution:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996\charrsid209996 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid209996\yts24 {\rtlch \af36 \ltrch \lang1024\langfe1024\noproof\langfenp2057\insrsid2042609 {\shp{\*\shpinst\shpleft4075\shptop349\shpright8695\shpbottom1620\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr2\shpwrk0\shpfblwtxt0\shpz1\shplid1027{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}} {\sp{\sn lTxid}{\sv 131072}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\shptxt \ltrpar \pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid209996 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 It is tempting to write 25,600cm\'b2=}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 256m \'b2 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996\charrsid209996 But this is wrong!!!}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 1m\'b2=100cm }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 100cm=10,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 000cm\'b2 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 So, 25,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 600cm\'b2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 =}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 2.56m\'b2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 \par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8193\dptxbx\dptxlrtb{\dptxbxtext\ltrpar \pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid209996 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 It is tempting to write 25,600cm\'b2=}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 256m\'b2 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996\charrsid209996 But this is wrong!!!}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 1m\'b2=100cm }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 100cm=10,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 000cm\'b2 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 So, 25,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 600cm\'b2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2120098 =}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 2.56m\'b2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 \par }}\dpx4075\dpy349\dpxsize4620\dpysize1271\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 We could either work out 0.8 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid4934485 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid4934485 3.2 and give the answer in m\'b2. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 0.8}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 3.2=}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996\charrsid209996 2.56m\'b2}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid4934485 Or work out 80 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid4934485 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid4934485 320 and give the answer in cm\'b2. \par 80 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid4934485 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid4934485 320}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 =}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid2120098\charrsid2120098 25,}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid209996\charrsid2120098 600cm\'b2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996\charrsid209996 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid16463859\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 \par \cell }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid209996 \trowd \irow0\irowband0\lastrow \ltrrow\ts24\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 \trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr \brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\row }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4674335 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1779024 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 Exactly two same size triangles fit inside a rectangle with the same height and width. So to work out the area of a triangle, we work out half the area of the rectangle. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4674335 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4674335 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 This means that we must use the height of the triangle }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid16463859\charrsid4934485 not}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 the length of the slanting side. This is why it is common to refer to the two dimensions as height and base.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4674335 \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4674335\yts24 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728\charrsid4337728 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4337728\yts24 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid4337728\charrsid4337728 Work out the area of this decoration: \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4674335\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par }{\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4674335\yts24 \rtlch \af1\afs22\alang1025 \ltrch \f1\fs22\lang2057\langfe1033\cgrid\langnp2057\langfenp1033\insrsid4337728\charrsid4934485 {\object\objemb\objw4306\objh2985{\*\objclass Word.Picture.8}{\*\objdata 01050000020000000f000000576f72642e506963747572652e3800000000000000000000540000 d0cf11e0a1b11ae1000000000000000000000000000000003e000300feff0900060000000000000000000000010000000100000000000000001000000200000001000000feffffff0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 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2701ffff040000002d010500040000002d010300070000001b04d001f10600014d05040000002d010200040000002d010400030000001e00070000001604b001 b5061e01890505000000020101000000040000002d0101000500000009020000000211000000320a2c0189050400040089051e01b406b00134326d6d320032004e004e000d000000320a2c0189060100040089051e01b406b00120002d00040000002701ffff040000002d010000030000000000}}}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728 Solution:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728\charrsid4337728 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4337728\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4934485 Firstly notice that the slanting side 42mm long is not relevant to the area \endash they just put it in to distract you!}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4934485 Also, let\rquote s work in cm. So, 38mm=3.8cm. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 The area is half of 2.3 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4934485 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4934485 3.8. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4674335\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4934485 That is 2.3}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4934485 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 3.8 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4934485 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4337728 2 = }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728\charrsid4337728 4.37cm\'b2}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1779024 \cell }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \trowd \irow0\irowband0\lastrow \ltrrow\ts24\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 \trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr \brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\row }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16463859 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1779024 \par \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid16463859\charrsid4337728 Calculate areas of compound shapes composed from rectangles and triangles. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4337728 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 Most area calculations are actually made up of various parts, normally rectangles, sometimes with triangles included. Sometimes extra shapes are added on, sometimes they are cut out (in which case we subtract). }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859\charrsid4934485 Work out all of the parts separately, then add or subtract as appropriate. It often helps to add dimensions to the drawing \endash some of the shape\rquote s dimensions will need to be worked out as they may only be part of a bigger dimension. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16463859 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid16463859 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1779024 \par \par \par \par \par \par \par \par \par \par \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid16463859\yts24 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1779024 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728\charrsid4337728 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4337728\yts24 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid4337728\charrsid4337728 The diagram shows the cross section of an aircraft engine component. 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00001f02000008000000fa0200000600000000000000040000002d010600040000002d010500080000002503020064011a0264010d0008000000fa0200000600 000000000000040000002d01070004000000f00106000a000000250303004401d90164011a028501d9010a0000002503030085014f0064010e0044014f000400 00002d01040004000000f0010700040000002d0102000800000026060f000600ffffffff0100040000002d010500040000002d010300070000001b046c017e01 af000c00040000002d010200040000002d010400030000001e000700000016044c014101cd00480005000000020101000000040000002d010100050000000902 0000000210000000320adb004800030004004800cd0040014c0135636d0132002c004e000d000000320adb00f400010004004800cd0040014c0120002d00040000002701ffff040000002d010000030000000000}}}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4396432 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4337728\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 The triangle is 9cm wide (12cm \endash 3cm) and 5cm high (the whole shape is 6 + 3 = 9cm high, so the triangle is 9cm \endash 4cm). \par We have three shapes: \par }\pard \ltrpar\ql \li567\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\pararsid4337728\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid6842112 Rectangle 1: 9 x 4 =}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4337728 36cm\'b2 \par Rectangle 2: 3 x 3 = 9cm\'b2 \par Triangle: 9 x 5 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4337728 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4337728 2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid6842112 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4337728 = 22.5cm\'b2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par Total = 36 + 9 + 22.5 = 67.5cm}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728\charrsid4337728 \'b2 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid16463859\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par Take away the cut out (10cm) \par 67.5 \endash 10 = }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4337728\charrsid4337728 57.5cm\'b2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4396432 The area of the cross section is 57.5cm}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4396432\charrsid4337728 \'b2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4396432 .}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4396432 \cell }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4337728 \trowd \irow0\irowband0\lastrow \ltrrow\ts24\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 \trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr \brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\row }\pard \ltrpar\ql \fi-1134\li1134\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin1134\itap0\pararsid3879587 {\rtlch \ab\af0 \ltrch \b\f0\insrsid3879587 C5.}{\rtlch \ab\af0 \ltrch \b\f0\insrsid4724985 2}{\rtlch \af0 \ltrch \f0\insrsid3879587 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985 Volume}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3879587\charrsid5316830 \par }\pard\plain \ltrpar\s19\ql \li0\ri0\widctlpar\nooverflow\faroman\rin0\lin0\itap0\pararsid4396432 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe2057\cgrid\langnp2057\langfenp2057 {\rtlch \af1 \ltrch \f1\insrsid4396432 \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid4724985\charrsid4724985 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 : \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid4724985\charrsid15208398 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar \tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls5\adjustright\rin0\lin0\itap0\pararsid4724985 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 Calculate the volumes of cuboids. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid4724985\charrsid15208398 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Interpret packing diagrams. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid4724985\charrsid15208398 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Interpret volume units. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid4724985\charrsid15208398 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid4724985\charrsid4724985 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 : \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 Calculate the volumes of cuboids. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 A }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 cuboid}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 is the mathematical name for a three dimensional shape with rectangular faces. Basically, it\rquote s a box. \par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid4724985 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 To work out the volume of a cuboid}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 we multiply all three d}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 imensions together: \par e.g. length }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 width }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 depth. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid4724985\charrsid15208398 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li1080\ri0\widctlpar \tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\ilvl1\adjustright\rin0\lin1080\itap0\pararsid4724985 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 \tab The units for area will always be something cubed e.g. mm\'b3, cm\'b3, m\'b3 etc.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par {\listtext\pard\plain\ltrpar \rtlch \ab\af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid4724985\charrsid4724985 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 Make sure the 3 side lengths have the same units}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 . \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985 For example:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid4724985 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par }{\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 \rtlch \ab\af36\afs22\alang1025 \ltrch \b\f36\fs22\lang2057\langfe1033\cgrid\langnp2057\langfenp1033\insrsid4724985\charrsid15208398 {\object\objemb\objw4831\objh2730{\*\objclass Word.Picture.8}{\*\objdata 01050000020000000f000000576f72642e506963747572652e3800000000000000000000560000 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0.6m}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 \par So, the volume is 1.4}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 0.9 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 0.6 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 0.756. \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 The volume is 0.76m\'b3}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 \~(to 2 decimal places)}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par \par }{\rtlch \af36 \ltrch \lang1024\langfe1024\noproof\langfenp2057\insrsid2042609 {\shp{\*\shpinst\shpleft3959\shptop122\shpright9044\shpbottom1202\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz2\shplid1028 {\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 196608}}{\sp{\sn shadowOffsetX}{\sv 76200}}{\sp{\sn shadowOffsetY}{\sv 76200}}{\sp{\sn fShadow}{\sv 1}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}} {\sp{\sn fLayoutInCell}{\sv 1}}{\shptxt \ltrpar \pard\plain \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 { \rtlch \af118 \ltrch \f118\insrsid4724985 Be very careful comparing volume units: \par 1m\'b3\~=\~100\~}{\rtlch \af118 \ltrch \f118\insrsid4724985 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\rtlch \af118 \ltrch \f118\insrsid4724985 \~100\~}{\rtlch \af118 \ltrch \f118\insrsid4724985 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\rtlch \af118 \ltrch \f118\insrsid4724985 \~100\~=\~1\~000\~000cm\'b3 \par So, 0.76m\'b3\~=\~760\~000cm\'b3 \par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8194\dptxbx\dptxlrtb{\dptxbxtext\ltrpar \pard\plain \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af118 \ltrch \f118\insrsid4724985 Be very careful comparing volume units: \par 1m\'b3\~=\~100\~}{\rtlch \af118 \ltrch \f118\insrsid4724985 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\rtlch \af118 \ltrch \f118\insrsid4724985 \~100\~}{\rtlch \af118 \ltrch \f118\insrsid4724985 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\rtlch \af118 \ltrch \f118\insrsid4724985 \~100\~=\~1\~000\~000cm\'b3 \par So, 0.76m\'b3\~=\~760\~000cm\'b3 \par }}\dpx3959\dpy122\dpxsize5085\dpysize1080\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par \par \par \par \par \par \par \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1779024 \par \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985 Interpret packing diagrams}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 When goods are packed, the outer box is made to fit a convenient number of units}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 without wasting any space. So, if we know the dimensions of each item and how many items go in the box, we can work out the dimensions of the box. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4724985\yts24 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 \par }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid4724985\charrsid4724985 How many of the tins shown, will fit into the carton? \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par }{\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid4724985\yts24 \rtlch \af1\afs22\alang1025 \ltrch 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02010100000011000000320a1a05da0604000400da060c050a0892053735636d320032002c004e000d000000320a1a05b80701000400da060c050a0892052000 2d00040000002701ffff040000002d010600040000002d010200070000001b04f502e30432023903040000002d010500040000002d010400030000001e000700 00001604d602a7045002750305000000020101000000040000002d0101000500000009020000000211000000320a5e0275030400040075035002a604d6023630 636d320032002c004e000d000000320a5e0253040100040075035002a604d60220002d00040000002701ffff040000002d010600040000002d01020007000000 1b04d6046e0c1304c40a040000002d010500040000002d010400030000001e00070000001604b704320c3204000b05000000020101000000040000002d010100 0500000009020000000211000000320a4004000b04000400000b3204310cb7043330636d320032002c004e000d000000320a4004de0b01000400000b3204310c b70420002d00040000002701ffff040000002d010600040000002d010200070000001b042d04c4036b031a02040000002d010500040000002d01040003000000 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040004000000f0010700030000001e000700000016048803470922020f06050000000201010000001c000000fb029cff00000000000090010000000004400022 43656e7475727920476f7468696300b8b7c5c777c0c5c77720c0ca7700003000040000002d0103000500000009020000000216000000320a2502e50607000400 0f0622024609880354696464756d73722a001400450045003d005f0027000d000000320a25027008010004000f06220246098803200037000500000002010100 000013000000320a9f020f07050004000f062202460988034d65617479005d0041004400200035000d000000320a9f024608010004000f062202460988032000 370005000000020101000000040000002d01030014000000320a1a03fa06060004000f062202460988034368756e6b7351003d003d003d003200270004000000 2d0101000d000000320a32035b08010004000f0622024609880320002d00050000000201010000000d000000320a9f030f06010004000f0622024609880320002d00040000002701ffff040000002d010000030000000000}}}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985 Solution:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 Firstly, notice that the size of the tin is in mm}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 and the carton in cm. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 150mm = 15cm and 60mm = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 6cm. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 15 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid276189 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 5 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 75, so 5 tins fit along the length. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 15 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid276189 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 2 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 30, so 2 tins fit along the depth. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 6 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 10 = }{ \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 60, so 10 tins fit up the height. \par In total}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 , there will be 5 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 2 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 10}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid4724985 = }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4724985\charrsid4724985 100 tins}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985\charrsid15208398 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par \cell }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \trowd \irow0\irowband0\lastrow \ltrrow\ts24\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 \trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr \brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\row }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4724985 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4724985 \par \par }\pard\plain \ltrpar\s19\ql \li0\ri0\widctlpar\nooverflow\faroman\rin0\lin0\itap0\pararsid4396432 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe2057\cgrid\langnp2057\langfenp2057 {\rtlch \af1 \ltrch \f1\insrsid3879587\charrsid4396432 \par }}