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
9 m3
9 m cubed
36 m3
36 m cubed
3 m3
3 m cubed
4 m3
An informal argument for the volume of a pyramid based on the volume of a cube can be made by considering that both shapes have the same base area. Since the cube has a volume of 12 cubic meters, and a square-based pyramid has the same base area and height as the cube, we can think of the pyramid as being made up of three smaller cubes stacked on top of each other.
Therefore, since the cube has a volume of 12 cubic meters, and the pyramid is made up of three smaller cubes, the volume of the pyramid would be 3 x 4 cubic meters, which equals 12 cubic meters.
Therefore, the volume of the pyramid would be 12 cubic meters.