Solve the Problem $\mathrm { V } ( \mathrm { x } ) = \mathrm { x } ( 11 - 2 \mathrm { x } ) ( 27 - 2 \mathrm { x } )$

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 27 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) $\mathrm { V } ( \mathrm { x } ) = \mathrm { x } ( 11 - 2 \mathrm { x } ) ( 27 - 2 \mathrm { x } )$
B) $\mathrm { V } ( \mathrm { x } ) = ( 11 - 2 \mathrm { x } ) ( 27 - 2 \mathrm { x } )$
C) $V ( x ) = ( 11 - x ) ( 27 - x )$
D) $V ( x ) = x ( 11 - x ) ( 27 - x )$