Question

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A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism.

What is the relationship between the volume of the rectangular prism and the rectangular pyramid?


The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.

The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.

The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.

Answer 1

The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66cm³

Answer 2

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Answer:

(c) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Explanation:

The pyramid with the same overall dimensions will obviously have a smaller volume. The ratio is 1/3.

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The formula for the volume of a rectangular prism is ...

V = LWH

The formula for the volume of a rectangular pyramid is ...

V = (1/3)LWH

The pyramid has 1/3 the volume of the prism.