Solve the Problem $V ( x ) = x ( 11 - 2 x ) ( 23 - 2 x )$

Multiple Choice

Solve the problem.
-A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11 inches by 23 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure.
Express the volume V of the box as a function of x.

A) $V ( x ) = x ( 11 - 2 x ) ( 23 - 2 x )$
B) $V ( x ) = x ( 11 - x ) ( 23 - x )$
C) $V ( x ) = ( 11 - 2 x ) ( 23 - 2 x )$
D) $V ( x ) = ( 11 - x ) ( 23 - x )$