$\text { An open box of maximum volume is to be made from a square piece of material } 22$

Multiple Choice

$\text { An open box of maximum volume is to be made from a square piece of material } 22$
centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure) . Write the volume $V \text { as a function of } x \text {, the length of the corner squares. }$

A) $V = x ( 22 - 2 x ) ^ { 2 }$
B) $V = x + ( 22 - x ) ^ { 2 }$
C) $V = x ^ { 2 } + ( 22 - 2 x )$
D) $V = x ^ { 2 } ( 22 - 2 x )$
E) $V = x ( 22 - 2 x )$