Question

Describe an informal argument for the volume of a pyramid based on the volume of a cube. A cube has a volume of 12 cubic meters. A square-based pyramid has the same base area and the same height as the cube. What is the volume of the pyramid?(1 point)
Responses

3 m3
3 m cubed

4 m3
4 m cubed

9 m3
9 m cubed

36 m3
36 m cubed

Answer 1

Volume of a square pyramid = (1/3) · (base area) · (height). For the cube, (base area)·(height) = volume = 12 m^3, so the pyramid's volume is (1/3)·12 = 4 m^3.

Answer: 4 m3.