ÿþ<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <html> <head> <title> imath - oefeninge i.v.m. oppervlakte en volume : antwoorde </title> <link rel= stylesheet href= "../mystyl.css" type= "text/css"> <META NAME="keywords" CONTENT="Wiskundige Geletterdheid Graad 12, nog oefeninge, oppervlakte, volume, antwoorde"> <META NAME="description" CONTENT="Nog oefeninge - oppervlakte en volume : antwoorde"> <META NAME="generator" CONTENT="Notepad"> <META NAME="author" CONTENT="JJW Gibbens"> <META NAME="copyright" CONTENT="Copyright © 2008 JJW Gibbens"> <META NAME="expires" CONTENT="31 December 2020"> </head> <body> <h4> Graad 12 - Nog oefeninges : antwoorde. </h4> <h4> Oppervlakte en volume. </h4> <DIV style="position: absolute; top:100px; left:10px; width:30px; height:20px"> 1.1 </DIV> <DIV style="position: absolute; top:100px; left:60px; width:700px; height:20px"> 240 </DIV> <DIV style="position: absolute; top:100px; left:250px; width:30px; height:20px"> 1.2 </DIV> <DIV style="position: absolute; top:100px; left:310px; width:700px; height:20px"> 697,5 </DIV> <DIV style="position: absolute; top:100px; left:500px; width:30px; height:20px"> 1.3 </DIV> <DIV style="position: absolute; top:100px; left:560px; width:700px; height:20px"> 82,5 </DIV> <DIV style="position: absolute; top:125px; left:10px; width:30px; height:20px"> 1.4 </DIV> <DIV style="position: absolute; top:125px; left:60px; width:700px; height:20px"> 144 </DIV> <DIV style="position: absolute; top:125px; left:250px; width:30px; height:20px"> 1.5 </DIV> <DIV style="position: absolute; top:125px; left:310px; width:700px; height:20px"> 342 </DIV> <DIV style="position: absolute; top:125px; left:500px; width:30px; height:20px"> 1.6 </DIV> <DIV style="position: absolute; top:125px; left:560px; width:700px; height:20px"> 1 299,2 </DIV> <DIV style="position: absolute; top:150px; left:10px; width:30px; height:20px"> 1.7 </DIV> <DIV style="position: absolute; top:150px; left:60px; width:700px; height:20px"> 1 720,210 </DIV> <DIV style="position: absolute; top:150px; left:250px; width:30px; height:20px"> 1.8 </DIV> <DIV style="position: absolute; top:150px; left:310px; width:700px; height:20px"> 16,982 </DIV> <DIV style="position: absolute; top:200px; left:10px; width:30px; height:20px"> 2.1 </DIV> <DIV style="position: absolute; top:200px; left:60px; width:700px; height:20px"> V = 33022,5 &nbsp; ; &nbsp; Oppv. = 7492 </DIV> <DIV style="position: absolute; top:200px; left:340px; width:30px; height:20px"> 2.2 </DIV> <DIV style="position: absolute; top:200px; left:400px; width:700px; height:20px"> V = 300 763 &nbsp; ; &nbsp; Oppv. = 26 934 </DIV> <DIV style="position: absolute; top:225px; left:10px; width:30px; height:20px"> 2.3 </DIV> <DIV style="position: absolute; top:225px; left:60px; width:700px; height:20px"> V = 4 590 &nbsp; ; &nbsp; Oppv. = 2188,645 </DIV> <DIV style="position: absolute; top:225px; left:340px; width:30px; height:20px"> 2.4 </DIV> <DIV style="position: absolute; top:225px; left:400px; width:700px; height:20px"> V = 129,681 &nbsp; ; &nbsp; Oppv. = 123,899 </DIV> <DIV style="position: absolute; top:250px; left:10px; width:30px; height:20px"> 2.5 </DIV> <DIV style="position: absolute; top:250px; left:60px; width:700px; height:20px"> V = 26 507,188 &nbsp; ; &nbsp; Oppv. = 5 466,085 </DIV> <DIV style="position: absolute; top:300px; left:10px; width:30px; height:20px"> 3.1 </DIV> <DIV style="position: absolute; top:300px; left:60px; width:700px; height:20px"> A = 13,5 </DIV> <DIV style="position: absolute; top:300px; left:340px; width:30px; height:20px"> 3.2 </DIV> <DIV style="position: absolute; top:300px; left:400px; width:700px; height:20px"> A = 11,142 &nbsp; ; &nbsp; omtrek = 14,283 </DIV> <DIV style="position: absolute; top:325px; left:10px; width:30px; height:20px"> 3.3 </DIV> <DIV style="position: absolute; top:325px; left:60px; width:700px; height:20px"> A = 335 </DIV> <DIV style="position: absolute; top:325px; left:340px; width:30px; height:20px"> 3.4 </DIV> <DIV style="position: absolute; top:325px; left:400px; width:700px; height:20px"> A = 90 000 &nbsp; ; &nbsp; omtrek = 1 600 </DIV> <DIV style="position: absolute; top:350px; left:10px; width:30px; height:20px"> 3.5 </DIV> <DIV style="position: absolute; top:350px; left:60px; width:700px; height:20px"> A = 86,549 &nbsp; ; &nbsp; omtrek = 36,850 </DIV> <DIV style="position: absolute; top:400px; left:10px; width:30px; height:20px"> 4. </DIV> <DIV style="position: absolute; top:400px; left:50px; width:700px; height:20px"> a = "2; b = "3 and c = "4 = 2. </DIV> <DIV style="position: absolute; top:425px; left:50px; width:700px; height:20px"> Die skuinssy van die eerste driehoek is "2. Die skuinssy van elke daaropvolgende driehoek </DIV> <DIV style="position: absolute; top:450px; left:50px; width:700px; height:20px"> is gelyk aan "(skuinssy van vorige driehoek + 1) </DIV> <DIV style="position: absolute; top:475px; left:10px; width:30px; height:20px"> 4.2 </DIV> <DIV style="position: absolute; top:475px; left:50px; width:700px; height:20px"> "5 ; "6 ; "7 </DIV> <DIV style="position: absolute; top:500px; left:10px; width:30px; height:20px"> 4.3 </DIV> <DIV style="position: absolute; top:500px; left:50px; width:7000px; height:20px"> Omtrek = 6 </DIV> <DIV style="position: absolute; top:525px; left:10px; width:30px; height:20px"> 4.4 </DIV> <DIV style="position: absolute; top:525px; left:50px; width:700px; height:20px"> Oppervlakte van eerste driehoek = 0,5; oppervlakte van tweede driehoek = 0,707 of 0,5"2 en </DIV> <DIV style="position: absolute; top:550px; left:50px; width:700px; height:20px"> oppervlakte van derde driehoek = 0,866 of 0,5"3 </DIV> <DIV style="position: absolute; top:575px; left:50px; width:700px; height:20px"> Totale oppervlakte van die figuur = 2,073 </DIV> <DIV style="position: absolute; top:625px; left:10px; width:30px; height:20px"> 5.1 </DIV> <DIV style="position: absolute; top:625px; left:60px; width:700px; height:20px"> 24,232 </DIV> <DIV style="position: absolute; top:625px; left:250px; width:30px; height:20px"> 5.2 </DIV> <DIV style="position: absolute; top:625px; left:310px; width:700px; height:20px"> 33,353 </DIV> <DIV style="position: absolute; top:625px; left:500px; width:30px; height:20px"> 5.3 </DIV> <DIV style="position: absolute; top:625px; left:560px; width:700px; height:20px"> 30,788 </DIV> <DIV style="position: absolute; top:675px; left:10px; width:30px; height:20px"> 6.1 </DIV> <DIV style="position: absolute; top:675px; left:60px; width:700px; height:20px"> 30,631 </DIV> <DIV style="position: absolute; top:675px; left:250px; width:30px; height:20px"> 6.2 </DIV> <DIV style="position: absolute; top:675px; left:310px; width:700px; height:20px"> 65,597 </DIV> <DIV style="position: absolute; top:725px; left:10px; width:30px; height:20px"> 7.1 </DIV> <DIV style="position: absolute; top:725px; left:50px; width:700px; height:20px"> 77 </DIV> <DIV style="position: absolute; top:750px; left:10px; width:30px; height:20px"> 7.2 </DIV> <DIV style="position: absolute; top:750px; left:50px; width:700px; height:20px"> Nee, die grond teenaan die plastiek kan nie regtig gebruik word nie omdat die vertikale werkspasie </DIV> <DIV style="position: absolute; top:775px; left:50px; width:700px; height:20px"> te klein is. </DIV> <DIV style="position: absolute; top:800px; left:10px; width:30px; height:20px"> 7.3 </DIV> <DIV style="position: absolute; top:800px; left:50px; width:700px; height:20px"> 211,665 </DIV> <DIV style="position: absolute; top:850px; left:10px; width:30px; height:20px"> 8. </DIV> <DIV style="position: absolute; top:850px; left:50px; width:700px; height:20px"> Onthou dat 1 000 liter is gelyk aan 1 kubieke meter. Verander die 5 000 liter na 5 kubieke meter. </DIV> <DIV style="position: absolute; top:880px; left:50px; width:700px; height:20px"> Reghoekige tenk: moontlike mate is breedte = 1,5 m, lengte = 1,5 m en hoogte = 2,222 m. </DIV> <DIV style="position: absolute; top:910px; left:50px; width:700px; height:20px"> Oppervlakte van metaal = 17,832 vierkante meter. </DIV> <DIV style="position: absolute; top:940px; left:50px; width:700px; height:20px"> Kubus: Mate: each side = 1,710 m. </DIV> <DIV style="position: absolute; top:970px; left:50px; width:700px; height:20px"> Oppervlakte van metaal is 17,544 vierkante meter. </DIV> <DIV style="position: absolute; top:1000px; left:50px; width:700px; height:20px"> Silinder: Moontlike mate: middellyn = 1,784 m en hoogte = 2 m. </DIV> <DIV style="position: absolute; top:1030px; left:50px; width:700px; height:20px"> Oppervlakte van metaal = 27,417 vierkante meter. </DIV> <DIV style="position: absolute; top:1100px"> <tr> <td width= "4%" class= "pnet"> &nbsp;&nbsp; </td> <td width= "96%"> <table border= "1" cellpadding= "10" cellspacing= "1"> <td> <a href= "ant1209oppvol2.html"> Na bo </a> </td> <td> <a href= "no1209oppvol.html"> Oefening </a> </td> <td> <a href= "no12spyskaart.html"> Graad 12 - oefeninge </a> </td> <td> <a href= "../graad10a/no10spyskaart.html"> Graad 10 - oefeninge </a> </td> <td> <a href= "../graad11a/no11spyskaart.html"> Graad 11 - oefeninge </a> </td> <td> <a href= "../index.html"> Tuisblad </a> </td> </table> </td> </tr> </table> </DIV> </body> </html>