Question: A rectangular box with a square base is to be formed from a square piece of metal with 12-inch sides. If a square piece with

A rectangular box with a square base is to be formed from a square piece of metal with 12-inch sides. If a square piece with side x is cut from each corner of the metal and the sides are folded up to form an open box, the volume of the box is V=(12-2x)2x. What value of x will maximize the volume of the box?

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