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

1m3

1 m cubed

30 m3

30m cubed

3 m3

3 m cubed

6 m3

Answer 1

Cube side s satisfies 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 m³.