Question

Which expression represents the volume of the square pyramid shown?

A) 7x + 8
B) 3x3 + 24x2
C) 9x3 + 72x2
D) 9x2 + x + 15

Answer 1

B) 3x^3 + 24x^2

Explanation:

The volume of a pyramid is 1/3 the product of the base area and the height. The base is square, so its area is the square of the side dimension.

V = (1/3)(3x)^2(x+8) = 3x^2(x +8)

V = 3x^3 +24x . . . . . matches B