An Open Box Is to Be Made from a Square $66 \text { inches }$

Multiple Choice

An open box is to be made from a square piece of cardboard, $66 \text { inches }$ on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) .After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.

A) $22 ^ { \prime \prime } \times 22 ^ { \prime \prime } \times 11 ^ { \prime \prime }$
B) $44 ^ { \prime \prime } \times 44 ^ { \prime \prime } \times 11 ^ { \prime \prime }$
C) $44 ^ { \prime \prime } \times 44 ^ { \prime \prime } \times 22 ^ { \prime \prime }$
D) $33 ^ { \prime \prime } \times 33 ^ { \prime \prime } \times 22 ^ { \prime \prime }$
E) $11 ^ { \prime \prime } \times 11 ^ { \prime \prime } \times 5.5 ^ { \prime \prime }$