volume_mute

Volume of a Rectangular Pyramid

publish date2026/05/18 12:18:48.170832 UTC

volume_mute

Find the volume of the pyramid shown below.

16 cm12 cm20 cm

Correct Answer

1,280 cm³

Explanation

The base is a rectangle 16 cm by 12 cm, so:

\[B = 16 \times 12 = 192 \text{ cm}^2\]

\[V = \frac{1}{3}Bh = \frac{1}{3}(192)(20)\]

Substitute 192 for \(B\) and 20 for \(h\).

\[= \frac{1}{3}(3{,}840) = 1{,}280\]

The volume of the pyramid is 1,280 cm³.

Reference

Mathematics for college students


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