A Closed Rectangular Box Has Dimensions of Length N Inches $V ( n )$

Multiple Choice

A closed rectangular box has dimensions of length n inches, width n-4 inches, and height n+2 inches. Write a polynomial function $V ( n )$ that represents the volume of the box.

A) $V ( n ) = n ^ { 3 } + 2 n ^ { 2 } - 8$
B) $V ( n ) = n ^ { 3 } + 2 n ^ { 2 } - 8 n$
C) $V ( n ) = n ^ { 3 } - 2 n ^ { 2 } - 8 n$
D) $V ( n ) = n ^ { 3 } - 4 n ^ { 2 } - 8 n$
E) $V ( n ) = n ^ { 3 } + 6 n ^ { 2 } - 8 n$