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

4 m3
4 m cubed

36 m3
36 m cubed

9 m3
9 m cubed

3 m3

Answer 1

A pyramid's volume is one-third of a prism (or cube) with the same base area and height. The cube's volume = base area × height = 12, so the pyramid's volume = (1/3)×12 = 4 cubic meters.

Answer: 4 m³.