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Optimization problem for AP calculus AB 5.) An open box is to be made from a square piece of cardboard, 12 inches on each side,

Optimization problem for AP calculus AB

5.) An open box is to be made from a square piece of cardboard, 12 inches on each side, by cutting equal squares from each corner and turning up the sides. Find the volume of the largest box that can be made in this manner

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