Concept explainers
Designing a box Two squares of length x are cut out of adjacent corners of an 18″ × 18″ piece of cardboard and two rectangles of length 9″ and width x are cut out of the other two corners of the cardboard (see figure). The resulting piece of cardboard is then folded along the dashed lines to form an enclosed box. Find the dimensions and volume of the largest box that can be formed in this way.
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