Solve the Problem ${ }^{3}$ B) 20 In by 20 In a Thin

Multiple Choice

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) 2 6.7 in. by 26.7 in. by 6.7 in.; 4740.7 in. $^{3}$
D) 2 6.7 in. by 26.7 in. by 13.3 in.; 9481.5 in. ${ }^{3}$