Question: A box with a lid is to be made from a rectangular piece of cardboard measuring 48 cm by 144 cm. Two equal squares of

A box with a lid is to be made from a rectangular piece of cardboard measuring 48 cm by 144 cm. Two equal squares of side x are to be removed from oneend, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum.

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