A Piece of Cardboard Is Twice as Long as It $V ( x ) = 10 x ^ { 2 } - 75 x + 125$

Multiple Choice

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 5 cm squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard.
Determine a function V that represents the volume of the box in terms of x.

A) $V ( x ) = 10 x ^ { 2 } - 75 x + 125$
B) $V ( x ) = 10 x ^ { 2 }$
C) $V ( x ) = 5 x ^ { 2 } - 100 x + 500$
D) $V ( x ) = 10 x ^ { 2 } - 150 x + 500$