Question

What is the volume of a rectangular prism whose length is 2x+1 units, width is x-2 units, and whose height is 3x units?

Answer 1

Answer:

V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)

Step-by-step explanation:

The volume of a rectangular prism of length L, depth W and height H is

V = L * W * H.

Thus,

in this case,

V = (2x + 1)(x - 2)(3x).

The order in which we multiply these quantities together is immaterial.

Working from left to right, we get:

V = (2x^2 - 3x - 2)(3x), and then:

V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)