document.write( "Question 263610: An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 inches from each corner and turning up the edges. If the box is to hold 294 cubic inches, what should be the dimensions of the sheet metal? \n" ); document.write( "
Algebra.Com's Answer #194266 by stanbon(75887)\"\" \"About 
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An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 inches from each corner and turning up the edges.
\n" ); document.write( "If the box is to hold 294 cubic inches, what should be the dimensions of the sheet metal?
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\n" ); document.write( "\n" ); document.write( "Let the sheet metal be x\" by x\".
\n" ); document.write( "Sketch a square that is x by x.
\n" ); document.write( "sketch 6 by 6 squares in each of its corners.
\n" ); document.write( "Imagine cutting out those four squares.
\n" ); document.write( "Imagine folding up the four sides to form a box.
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\n" ); document.write( "The base of the box is (x-2*6)^2 sq in.
\n" ); document.write( "The height of the box is 6 in
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\n" ); document.write( "Volume = 6(x-12)^2 = 294
\n" ); document.write( "(x-12)^2 = 49
\n" ); document.write( "x-12 = 7
\n" ); document.write( "x = 19\"\r
\n" ); document.write( "\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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