Question

Mei Li measures a cube and a square-based pyramid and finds that the pyramid has the same height and base area as the cube. She also calculates that the volume of the cube is 9 cubic meters. What is the volume of the pyramid?(1 point)
Responses

6m3
6m cubed

3 m3
3 m cubed

1m3
1 m cubed

30m3

Answer 1

3 m^3

Reason: If the cube's side is s, s^3 = 9. The pyramid's volume = (1/3)·(base area)·height = (1/3)·s^2·s = (1/3)s^3 = (1/3)·9 = 3.