volume_mute
Find the Base Area of a Pyramid Given Its Volume
publish date: 2026/05/18 12:18:50.575013 UTC
volume_mute
The volume of a pyramid is 200 yd³ and its height is 6 yards. What is the area of its base?
Correct Answer
100 yd²
Explanation
Use the pyramid volume formula and solve for \(B\):
\[V = \frac{1}{3}Bh\]
\[200 = \frac{1}{3}B(6)\]
\[200 = 2B\]
\[B = 100 \text{ yd}^2\]
The area of the base is 100 yd². Check: \(\frac{1}{3}(100)(6) = \frac{1}{3}(600) = 200\) ✓
Reference
go-math-science.com