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A covered box is to be made from a rectangular sheet of cardboard measuring 20 inches by 32 inches. This is done by cutting out

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A covered box is to be made from a rectangular sheet of cardboard measuring 20 inches by 32 inches. This is done by cutting out the shaded regions of the figure and then folding on the dotted lines. What are the dimensions x, y, and z that maximize the volume?

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