Question: An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by removing a small square from each

An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by removing a small square from each corner and folding up the flaps to form the sides. Express the volume of the resulting box as a function of the length x of a side of the removed squares. Draw the graph, and estimate the value of x for which the volume of the resulting box is greatest.

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