Solve the Problem $50 \mathrm { in }$ , Square Corners Are Cut Out So That the Sides

Multiple Choice

Solve the problem.
-From a thin piece of cardboard 50 in. by $50 \mathrm { in }$ ., 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) $16.7$ in. $\times 16.7$ in. $\times 16.7$ in.; $4629.6$ in $^ { 3 }$
B) 25 in. $\times 25$ in. $x 12.5$ in.; $7812.5$ $in^{3}$
C) $33.3$ in. $\times 33.3$ in. $\times 16.7$ in.; $18,518.5$ in $^ { 3 }$
D) $33.3$ in. $\times 33.3$ in. $\times 8.3$ in.; $9259.3$ in $^ { 3 }$