Question

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

A solid oblique pyramid has a square base with edges measuring x centimeters. The height is (x + 2) centimeters.

Which expression represents the volume of the pyramid?

StartFraction x cubed + 2 x squared Over 3 EndFraction cm3
StartFraction x squared + 2 x squared Over 2 EndFraction cm3
StartFraction x cubed Over 3 EndFraction cm3
StartFraction x cubed + 2 x squared Over 2 EndFraction cm3

Answer 1

Volume of any pyramid = (1/3) × (base area) × (height).
Base area = x^2, height = x + 2, so

Volume = (1/3) x^2 (x + 2) = (x^3 + 2x^2)/3 cm^3.

So the first expression is correct.