Question

a triangular pyramid has a base area of 22 square units and a height of 9 units. calculate the volume.
a. 264 cubic units
b. 99 cubic units
c. 66 cubic units
d. 198 cubic units

Explanation:

Step1: Recall the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Bh\), where \(B\) is the base area and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(B = 22\) square units and \(h=9\) units. Substitute into \(V=\frac{1}{3}Bh\):
\(V=\frac{1}{3}\times22\times9\)
First, calculate \(22\times9 = 198\). Then, \(V=\frac{198}{3}\)

Step3: Simplify the expression

\(V = 66\)

Answer:

C. 66 cubic units