Solve the Problem $V ( x ) = 4 x ^ { 3 } - 72 x ^ { 2 }$

Solve the problem.
-From a 18-inch by 18-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) $V ( x ) = 4 x ^ { 3 } - 72 x ^ { 2 }$
B) $V ( x ) = 4 x ^ { 3 } - 72 x ^ { 2 } + 324 x$
C) $V ( x ) = 2 x ^ { 3 } - 54 x ^ { 2 }$
D) $V ( x ) = 2 x ^ { 3 } - 54 x ^ { 2 } + 18 x$

Correct Answer:

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