A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top box by cutting equal-area squares from each of its four corners and folding along lines where the cuts were made. (A picture is included below.) For example, cutting squares of size 1 cm by 1 cm, would yield a box of height • ! cm with a base of dimension 4 cr: by 8 cm. Use calculu. to determine the maximum volume of such an

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