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A rectangular tank with a square base, an open top, and a volume of 32 ft3 is to be constructed of sheet steel. Find the dimensions of the tank that...

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A rectangular tank with a square base, an open top, and a volume of 32 ft3 is to be constructed of sheet steel. Find thedimensions of the tank that has the minimum surface area. The dimensions ofthe tank with minimum surface area are ft.(Simplify your answer. Use a comma to separate answers.) A candy box is made from a piece of cardboard that measures 15 by 9 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each cornerto obtain maximum volume? A square with a side of length inches should be cut away from each corner to obtain the maximumvolume. (Round to the nearest hundredth as needed.)
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