Solve the problem.From a thin piece of cardboard 30 in. by 30 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.

A. 20 in. by 20 in. by 5 in.; 2000 in.3
B. 10 in. by 10 in. by 10 in.; 1000 in.3
C. 15 in. by 15 in. by 7.5 in.; 1687.5 in.3
D. 20 in. by 20 in. by 10 in.; 4000 in.3


Answer: A

Mathematics

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