document.write( "Question 978174: You construct an open box from a square piece of material by cutting four centimeter squares from the corners and turning up the sides. The volume of the box is 576 cubic centimeters. Find the dimensions of the square piece of material that you used to construct the box. \n" ); document.write( "

Algebra.Com's Answer #599674 by josgarithmetic(39623) $\"\"$ $\"About$

You can put this solution on YOUR website!
The folded up flaps form a 3 cm height.
\n" ); document.write( "Let x be the original edge length of the square material.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Base of the box has area $\"%28x-2%2A3%29%5E2\"$ .
\n" ); document.write( "Volume, $\"highlight%28x%28x-2%2A3%29%5E2=576%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You would simplify that and put into general form, and then look for roots according to Rational Roots Theorem. You are only interested in testing the POSITIVE roots.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "That work or its further description will not be shown, unless you have trouble with that process. \n" ); document.write( "

\n" );