Which expression represents the volume of the square pyramid shown? a) 7x + 8 b) 3x3 + 24x2 c) 9x3 + 72x2 d) 9x2 + x + 15

  B)3x^3 + 24x^2

Step-by-step 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