document.write( "Question 1052270: How can I find the equation for the next problem: from each corner of a square piece of sheet metal, remove a square of side 9 centimeters. Turn up the edges to form an open box. If the box is to hold 144 cubic centimeters, what should be the dimensions of the piece of sheet metal? \n" ); document.write( "
Algebra.Com's Answer #667660 by josmiceli(19441)\"\" \"About 
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The sides will be equal
\n" ); document.write( "Let \"+x+\" = the length of a side of the
\n" ); document.write( "square piece of sheet metal in cm before
\n" ); document.write( "the corners are cut out.
\n" ); document.write( "----------------------
\n" ); document.write( "The sides after cutting out corners:
\n" ); document.write( "\"+x+-+2%2A9+=+x+=+18+\" cm
\n" ); document.write( "The area of the bottom is:
\n" ); document.write( "\"+%28+x+-+18+%29%5E2+\"
\n" ); document.write( "The volume of the open box is:
\n" ); document.write( "\"+9%2A%28+x+-+18+%29%5E2+\"
\n" ); document.write( "\"+9%2A%28+x%5E2+-+36x+%2B+324+%29+=+144+\"
\n" ); document.write( "\"+x%5E2+-+36x+%2B+324+=+16+\"
\n" ); document.write( "Complete the square
\n" ); document.write( "\"+x%5E2+-+36x+=+-+308+\"
\n" ); document.write( "\"+x%5E2+-+36x+%2B+%2836%2F2%29%5E2+=+%2836%2F2%29%5E2+-+308+\"
\n" ); document.write( "\"+x%5E2+-+36x+%2B+324+=+324+-+308+\"
\n" ); document.write( "\"+%28+x+-+18+%29%5E2+=+4%5E2+\"
\n" ); document.write( "\"+x+-+18+=+4+\"
\n" ); document.write( "\"+x+=+22+\"
\n" ); document.write( "The sheet metal should be 22 x 22 cm2
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "\"+9%2A%28+x%5E2+-+36x+%2B+324+%29+=+144+\"
\n" ); document.write( "\"+9%2A%28+22%5E2+-+36%2A22+%2B+324+%29+=+144+\"
\n" ); document.write( "\"+484+-+792+%2B+324+=+16+\"
\n" ); document.write( "\"+808+-+792+=+16+\"
\n" ); document.write( "\"+16+=+16+\"
\n" ); document.write( "OK\r
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