volume_mute

Pyramid vs. Prism – Volume Relationship

publish date: 2026/05/18 12:18:51.146972 UTC

volume_mute

A triangular prism and a triangular pyramid both have the same triangular base (area = 30 cm²) and the same height (10 cm).

What is the volume of the pyramid?

300 cm³

150 cm³

100 cm³

90 cm³

100 cm³

Prism: \(V = Bh = 30 \times 10 = 300 \text{ cm}^3\)

Pyramid: \(V = \frac{1}{3}Bh = \frac{1}{3}(30)(10) = \frac{1}{3}(300) = 100 \text{ cm}^3\)

A pyramid with the same base and height as a prism has exactly one-third the volume of the prism.

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