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

30 m3
30 meter cubed

6 m3
6 meter cubed

3 m3
3 meter cubed

1 m3
1 meter cubed

Answer 1

3 m3

Explanation: 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 m^3.