SOLUTION: a open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and turning upp the edges.if the box is to hold 864 cubic fe

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Question 718019: a open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and turning upp the edges.if the box is to hold 864 cubic feet,what should be the dimensions of the sheet metal?what is the length of a side of the square piece of sheet metal?
Found 2 solutions by lynnlo, josgarithmetic:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by josgarithmetic(39617) About Me  (Show Source):
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Original side length of the square sheet, call it variable L. The bottom, when the 6 foot square piece is removed and flaps raised, will be %28L-2%29%2A6. Since this started with a square sheet, each side is 6 feet high.

Volume which this box holds is the area of the base multiplied by height.
Volume is %28L-12%29%5E2%2A6=864. A little more simply, 6%28L-12%29%5E2=864, and we should simplify by division by 6: highlight%28%28L-12%29%5E2=144%29, which should be uncomplicated to solve for L.