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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( ". \n" ); document.write( "Volume of the box = 72 cubic in. \n" ); document.write( ". \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. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |