a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 45 ft by 24 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Suppose that in part​ (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way.

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