An open box with a square base is to be made from a square piece of cardboard 15 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. Answers parts (a) and (b) 15 in. -15 in ..... (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. V= (Simplify your answer.) (b) What is the volume if a 2-inch square is cut out? The volume is p ann (Simplify your answer.)

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