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?

Answer 1

C. 6x^3+39x^2+54x

Explanation:

got it right on test

Answer 2

If the given are h =2x+9, l = x+2, w = 3x, then the answer is 6x^3+39x^2+54x

V = lwh
= (2x+9)(x+2)(3x)
= (2x^2 + 4x + 9x + 18)(3x)
= 6x^3 + 12x^2 + 27x^2 + 54x
= 6x^3 + 39x^2 + 54x