Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-From a 48-inch by 48 -inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of $x$ .

A) $V ( x ) = 2 x ^ { 3 } - 144 x ^ { 2 } + 48 x$
B) $V ( x ) = 2 x ^ { 3 } - 144 x ^ { 2 }$
C) $V ( x ) = 4 x ^ { 3 } - 192 x ^ { 2 } + 2,304 x$
D) $V ( x ) = 4 x ^ { 3 } - 192 x ^ { 2 }$