An open-top box is to have a square base and a volume of

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

An open-top box is to have a square base and a volume of 32,000 cm332{,}000\text{ cm}^3. Determine the side length of the square base that minimizes the amount of material used. Give your answer in centimeters.

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