document.write( "Question 1029169: Use quadratic formula and a calculator to solve. Round decimal approximations to the nearest hundredth. \r
\n" ); document.write( "\n" ); document.write( "A rectangular piece of cardboard is made into a box by cutting 3 inches squares from each corner and then folding the cardboard up. The length of the cardboard box is 3 inches more than its width. If the volume of the box is 540 inches^3, what are the dimensions of the original piece of cardboard?
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Algebra.Com's Answer #644223 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "                     Number                    Revision\r\n" );
document.write( "Box height             3                         3\r\n" );
document.write( "Base length            L-2*3                     L-6\r\n" );
document.write( "Base width             w-2*3                     w-6\r\n" );
document.write( "Length description     L-2*3=3+(w-2*3)          L-6=w-3\r\n" );
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\n" ); document.write( "\n" ); document.write( "volume is \"3%28L-6%29%28w-6%29=540\"\r
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\n" ); document.write( "\n" ); document.write( "Use the description's relation between L and w to substitute for one of them.\r
\n" ); document.write( "\n" ); document.write( "\"L-6=w-3\"
\n" ); document.write( "\"L=w-3%2B6\"
\n" ); document.write( "\"L=w%2B3\"---------* You will use this again further down to finish.
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\n" ); document.write( "\"3%28w%2B3-6%29%28w-6%29=540\"
\n" ); document.write( "\"3%28w-3%29%28w-6%29=540\"
\n" ); document.write( "\"%28w-3%29%28w-6%29=540%2F3\"
\n" ); document.write( "\"%28w-3%29%28w-6%29=9%2A2%2A10\"
\n" ); document.write( "\"%28w-3%29%28w-6%29=180\"
\n" ); document.write( "\"w%5E2-9w%2B18-180=0\"
\n" ); document.write( "\"w%5E2-9w-162=0\"\r
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\n" ); document.write( "\n" ); document.write( "General solution formula for quadratic equation:
\n" ); document.write( "Discriminant, \"81%2B4%2A162=729=27%5E2\";
\n" ); document.write( "\"w=%289%2B27%29%2F2\"
\n" ); document.write( "\"highlight%28w=18%29\"\r
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\n" ); document.write( "\n" ); document.write( "Find from that, \"highlight%28L=21%29\"
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