document.write( "Question 1129931: A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs 35¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 23¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box. \n" ); document.write( "

Algebra.Com's Answer #746574 by josgarithmetic(39617) $\"\"$ $\"About$

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h, height
\n" ); document.write( "x, side length\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"hx%5E2=20\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"h=20%2Fx%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "SURFACES    AREAS         PRICES     PARTIAL COSTS (cents)\r\n" );
document.write( "\r\n" );
document.write( "BASE          x^2           35       35x^2\r\n" );
document.write( "\r\n" );
document.write( "SIDES       4hx             10       10*4(20/x^2)x\r\n" );
document.write( "\r\n" );
document.write( "TOP          x^2            23       23x^2\r\n" );
document.write( "

\n" ); document.write( "Simplifying the sum of costs for the cost function,\r
\n" ); document.write( "\n" ); document.write( " $\"58x%5E2%2B800%2Fx\"$ $\"cents\"$ \n" ); document.write( "

\n" );