Solve the Problem $3 \mathrm {~cm}$ Squares from Each Corner and Folding Up the Sides

Multiple Choice

Solve the problem.
-A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting $3 \mathrm {~cm}$ squares from each corner and folding up the sides. Let $x$ represent the width of the original piece of cardboard. Determine a function $\mathrm { V }$ that represents the volume of the box in terms of $x$ .

A) $V ( x ) = 6 x ^ { 2 }$
B) $V ( x ) = 3 x ^ { 2 } - 36 x + 108$
C) $V ( x ) = 6 x ^ { 2 } - 27 x + 27$
D) $V ( x ) = 6 x ^ { 2 } - 54 x + 108$