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Question: i want to have the 100 correct and complete solution...

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12. (10 points) A piece of sheet metal is rectangular, 5 ft wide and 8 ft long. Congruent squares are to be cut from its corners. The resulting piece of metal is to be folded and welded to form an open-topped box. What should be the length of the sides of the congruent squares so that the box has the largest possible volume?

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