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An open-top box is to be made from a 24 inch by 36 inch piece of cardboard by removing a square from each corner of

An open-top box is to be made from a 24 inch by 36 inch piece of cardboard by removing a square from each corner of the cardboard and folding up the flaps on each side to make the box. What size square should be cut out of each corner so that the box will have maximum volume? Show this is the absolute maximum volume.

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