document.write( "Question 99878: A rectangular piece of sheet metal is 2 inches longer than it is wide. Squares measuring 4 inches on a side are cut from each corner and the sides are folded to form a box. If the volume of the box is 32 cubic inches, what are the dimensions of the sheet metal? \n" ); document.write( "
Algebra.Com's Answer #72810 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! THE HEIGHT OF THIS BOX IS 4 INCHES. \n" ); document.write( "THE LENGTH IS W+2 \n" ); document.write( "THEREFORE THE VOLUME IS: \n" ); document.write( "4*W(W+2)=32 \n" ); document.write( "4W^2+8W=32 \n" ); document.write( "4W^2+8W-32=0 FACTOR OUT 4 \n" ); document.write( "4(W^2+2W-8)=0 \n" ); document.write( "(W+4)(W-2)=0 \n" ); document.write( "W-2=0 \n" ); document.write( "W=2 ANSWER FOR THE WIDTH \n" ); document.write( "L=2+2=4 FOR THE LENGTH. \n" ); document.write( "PROOF \n" ); document.write( "4*2*4=32 \n" ); document.write( "32=32 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |