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

3 m3
3 m cubed

1m3
1 m cubed

30m3
30m cubed

6m3

Answer 1

Volume of cube = s^3 = 9, so s^3 = 9. Pyramid volume = (1/3)·(base area)·(height) = (1/3)·s^2·s = (1/3)·s^3 = (1/3)·9 = 3 m^3.

Answer: 3 m^3.