Question

If a rectangular pyramid has the same height and base as a rectangular prism, which statement explains how the volume of the pyramid can be determined?\

1) The volume of the pyramid is one-half the volume of the prism.
2)The volume of the pyramid is one-third the volume of the prism.
3)The volume of the pyramid is one-fourth the volume of the prism.
4)The volume of the pyramid is the same as the volume of the prism.

Answer 1

The correct answer is "The volume of the pyramid is one-third the volume of the prism".

Explanation:

The formula for the volume of a rectangular prism is
`lwh`, where
`l` represents length,
`w` represents width, and
`h` represents height. The formula for the volume of a rectangular pyramid is
`(lwh)/(3)`, where
`l` represents length,
`w` represents width, and
`h` represents height. Since the base and height of the rectangular pyramid is the same as the rectangular prism, that means the volume of the pyramid is one-third of the volume of the rectangular prism.