document.write( "Question 503679: From a square piece of cardboard, a box with an open top is made by cutting equal squares from the corners, and folding up the sides. If the height of the box is 2 inches and the volume is 72 cubic inches, find the length of one side of the cardboard. \n" ); document.write( "
Algebra.Com's Answer #339352 by oberobic(2304)\"\" \"About 
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L = length of the cardboard
\n" ); document.write( "The cardboard is square
\n" ); document.write( "L^2 = area of the cardboard
\n" ); document.write( ".
\n" ); document.write( "L -4 = length of the sides of the square box made from the cardboard.
\n" ); document.write( "It is L-4 because you have to cut a 2x2 square from each corner to make the box.
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\n" ); document.write( "Volume of the box = 72 cubic in.
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\n" ); document.write( "V = (L-4)*(L-4)*2
\n" ); document.write( "V = 72
\n" ); document.write( "(L-4)^2 = 36
\n" ); document.write( "L-4 = 6
\n" ); document.write( "L = 10
\n" ); document.write( ".
\n" ); document.write( "So, the cardboard square originally had sides = 10 inches.
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\n" ); document.write( "Done.
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