volume_mute

Volume of a Square Pyramid

publish date2026/05/18 12:18:47.797121 UTC

volume_mute

Find the volume of the pyramid shown below.

6 m6 m9 mapex

Correct Answer

108 m³

Explanation

Since the base is a square with each side 6 meters long, the area of the base is:

\[B = (6)^2 = 36 \text{ m}^2\]

\[V = \frac{1}{3}Bh\]

This is the formula for the volume of a pyramid.

\[V = \frac{1}{3}(36)(9)\]

Substitute 36 for \(B\) and 9 for \(h\).

\[= 12(9) = 108\]

Multiply: \(\frac{1}{3}(36) = 12\). Complete the multiplication.

The volume of the pyramid is 108 m³.

Reference

Mathematics for college students


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