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From a thin piece of cardboard 50 in. by 50 in., square corners are cut out so that the sides can be ...

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From a thin piece of cardboard 50 in. by 50 in., square corners are cut out so that the sides can be ...

From a thin piece of cardboard 50 in. by 50 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.

▸ 33.3 in. × 33.3 in. × 16.7 in.; 18,518.5 in³

▸ 16.7 in. × 16.7 in. × 16.7 in.; 4629.6 in³

▸ 25 in. × 25 in. × 12.5 in.; 7812.5 in³

▸ 33.3 in. × 33.3 in. × 8.3 in.; 9259.3 in³

Textbook

Calculus: Early Transcendentals

Edition: 3^rd

Authors: Briggs, Cochran, Gillett, Schulz

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