volume_mute
Volume of a Square Pyramid
publish date: 2026/05/18 12:18:47.797121 UTC
volume_mute
Find the volume of the pyramid shown below.
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
