document.write( "Question 1061434: A rectangular box with a square base has surface area 52 in2. Find a function that models the volume of the box in terms of the length x of one side of its base. \n" ); document.write( "
Algebra.Com's Answer #676263 by josgarithmetic(39617)\"\" \"About 
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x and x bottom dimensions;
\n" ); document.write( "y, the height dimension;\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2Bx%5E2%2B4xy=52\"
\n" ); document.write( "\"2x%5E2%2B4xy=52\"\r
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\n" ); document.write( "\n" ); document.write( "VOLUME for the box, v is
\n" ); document.write( "\"v=yx%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Solve the area equation for y in terms of x.
\n" ); document.write( "\"4xy=52-2x%5E2\"
\n" ); document.write( "\"2xy=26-x%5E2\"
\n" ); document.write( "\"y=%2826-x%5E2%29%2F%282x%29\"\r
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\n" ); document.write( "\n" ); document.write( "Substitute this for y in the volume equation.
\n" ); document.write( "\"v=%28%2826-x%5E2%29%2F%282x%29%29x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"v=%28%2826-x%5E2%29x%5E2%29%2F%282x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"v=%28%2826-x%5E2%29x%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28v=13x-%281%2F2%29x%5E3%29\"
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