Question

Ahmad constructs a square-based pyramid and a cube out of newspaper. The two figures have the same height and the same base area. What is the volume of the pyramid if the volume of the cube is 54 cubic units?(1 point)
Responses

36 cubic units
36 cubic units

6 cubic units
6 cubic units

90 cubic units
90 cubic units

18 cubic units

Answer 1

Cube side = s, so s^3 = 54. Cube base area = s^2 and cube height = s. The pyramid has the same base area and height, so its volume = (1/3)·(base area)·(height) = (1/3)·s^2·s = (1/3)·s^3 = (1/3)·54 = 18 cubic units.