document.write( "Question 159763: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges. If the box is to hold 4 cubic feet, what should be the dimensions of the sheet metal? \n" ); document.write( "
Algebra.Com's Answer #117835 by ankor@dixie-net.com(22740)\"\" \"About 
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An open box is to be constructed from a square piece of sheet metal by removing
\n" ); document.write( " a square of side 1 foot from each corner and turning up the edges.
\n" ); document.write( " If the box is to hold 4 cubic feet, what should be the dimensions of the sheet metal?
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\n" ); document.write( "We know the height of the box = 1 ft
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\n" ); document.write( "The dimensions of the square piece of sheet metal: x by x
\n" ); document.write( "The dimensions of the box will be (x-2) by (x-2) by 1
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\n" ); document.write( "Quite simple really.
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\n" ); document.write( "Square base * 1 ft height = 4 cu ft
\n" ); document.write( "(x-2)^2 * 1 = 4
\n" ); document.write( "x^2 - 4x + 4 = 4
\n" ); document.write( "x^2 - 4x + 4 - 4 = 0
\n" ); document.write( "x^2 - 4x = 0
\n" ); document.write( "x(x - 4) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 0
\n" ); document.write( "and
\n" ); document.write( "x = 4 ft by 4ft is the dimensions of the sheet metal
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\n" ); document.write( "Check:
\n" ); document.write( "Box will be: (4-2) * (4-2) * 1 = 4 cu ft \n" ); document.write( "
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