Solve the problem.From a thin piece of cardboard 40 in. by 40 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. 13.3 in. by 13.3 in. by 13.3 in.; 2370.4 in.3
B. 20 in. by 20 in. by 10 in.; 4000 in.3
C. 26.7 in. by 26.7 in. by 6.7 in.; 4740.7 in.3
D. 26.7 in. by 26.7 in. by 13.3 in.; 9481.5 in.3
Answer: C
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