document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=649546>Question 649546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> REDUCING THE SIZE OF A CANDY BAR \r<BR>\n" );
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document.write( "a jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width, and 3 centimeters in thickness.  Due to escalating costs in cocoa, management decides to reduce the volume of the bar by 20%. too accomplish this reduction, management decides that the new bar should have the same 3 centimeters in thickness, but the length and width of each should be reduced an equal number of centimeters. what should be the dimensions of the new candy bar?\r<BR>\n" );
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document.write( "i know that volume=LWH   which would then be v=(12)(7)(3)   so v=252 cm^3   and then i would multiply by 20% to get 50.4 cm^3      then subtract to get 201.6 cm^3 \r<BR>\n" );
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document.write( "then i would set that as   201.6 cm^3 = (3)(L)(W)    divide each side by 3  to get    67.2 cm^3=(L)(W)<BR>\n" );
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document.write( "Thats where I get stuck...  Thanks!  </SPAN>\n" );
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document.write( "REDUCING THE SIZE OF A CANDY BAR \r<BR>\n" );
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document.write( "a jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width, and 3 centimeters in thickness.  Due to escalating costs in cocoa, management decides to reduce the volume of the bar by 20%. too accomplish this reduction, management decides that the new bar should have the same 3 centimeters in thickness, but the length and width of each should be reduced an equal number of centimeters. what should be the dimensions of the new candy bar?\r<BR>\n" );
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document.write( "i know that volume=LWH   which would then be v=(12)(7)(3)   so v=252 cm^3   and then i would multiply by 20% to get 50.4 cm^3      then subtract to get 201.6 cm^3 \r<BR>\n" );
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document.write( "then i would set that as   201.6 cm^3 = (3)(L)(W)    divide each side by 3  to get    67.2 cm^3=(L)(W)<BR>\n" );
document.write( " <BR>\n" );
document.write( "Thats where I get stuck...  Thanks! \r<BR>\n" );
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document.write( "Volume of candy bar before reduction = 12 * 7 * 3, or 252 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Reduction by 20% results in a reduced candy bar volume of: .8(252), or 201.6 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let length of reduced bar be L<BR>\n" );
document.write( "Then width = L also<BR>\n" );
document.write( "Since volume of reduced bar = 201.6, and with thickness being the same (3 cm), then we have: L(L)(3) = 201.6 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3L%5E2+=+201.6 ALIGN=MIDDLE  ALT=\"3L%5E2+=+201.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28L%5E2%29+=+3%2867.2%29 ALIGN=MIDDLE  ALT=\"3%28L%5E2%29+=+3%2867.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2+=+67.2 ALIGN=MIDDLE  ALT=\"L%5E2+=+67.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- This is where you got stuck, but it should be L * L, since L  = W<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+sqrt%2867.2%29 ALIGN=MIDDLE  ALT=\"L+=+sqrt%2867.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "L, or length of reduced bar = = 8.2 (rounded). Width = 8.2 (rounded) also.\r<BR>\n" );
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document.write( "Dimensions of new candy bar = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%288.2%29+by+%288.2%29+by+%283%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%288.2%29+by+%288.2%29+by+%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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