document.write( "Question 1053912: A box is to be constructed from a sheet of cardboard that is 10 cm by 50 cm by cutting out squares of length x by x from each corner and bending up the sides. \r
\n" ); document.write( "\n" ); document.write( "What is the maximum volume this box could have? (Round your answer to two decimal places.)
\n" ); document.write( "

Algebra.Com's Answer #669184 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Height would be x.
\n" ); document.write( "The other two dimensions are (10-2x) and (50-2x).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"v%28x%29=x%2810-2x%29%2850-2x%29\"
\n" ); document.write( "\"v%28x%29=4x%285-x%29%2825-x%29\"
\n" ); document.write( "\"v%28x%29=4x%28125-30x%2Bx%5E2%29\"
\n" ); document.write( "\"v%28x%29=500x-120x%5E2%2B4x%5E3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Instead of continuing steps to solve, what you would do next is dv/dx, equate dv/dx=0, and find x. Figure if this is a or are max or min.
\n" ); document.write( "
\n" );