Question

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism?
L=x+2
W=3x
h=2x+9

A)2x^2+13x18
B) 6x^3+27x^2+54x
C) 6x^3+39x^2+54x
D)18x^4+117x^3+162x^2

Answer 1

The expression that represents the volume would be: C) 6x^3+39x^2+54x

Proof of the calculation:

V = Lwh

V = (x+2) (3x)  (2x+9)

V= (3x^2 + 6x) (2x + 9)

V = (6x^3 + 27X^2 +12x^2 + 54x)

V = 6x^3 + 39x^2 + 54x