a. Squares with sides of length x are cut out of each corner of a rectangular...

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a. Squares with sides of length x are cut out of each cornerof a rectangular piece of cardboard measuring 5 ft by 4 ft. Theresulting piece of cardboard is then folded into a box without alid. Find the volume of the largest box that can be formed in thisway.
b. Suppose that in part​ (a) the original piece of cardboardis a square with sides of length s. Find the volume of the largestbox that can be formed in this way.

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