Question

if a triangular - based pyramid has a base area of 30 square units and a height of 15 units, what is its volume?
a. 150 cubic units
b. 300 cubic units
c. 125 cubic units
d 450 cubic units

Explanation:

Step1: Recall the volume formula for a pyramid

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

Step2: Substitute the given values into the formula

We are given \( B = 30 \) square units and \( h=15 \) units. Substituting these into the formula:
\( V=\frac{1}{3}\times30\times15 \)
First, calculate \( 30\times15 = 450 \). Then, \( \frac{1}{3}\times450=150 \)

Answer:

A. 150 cubic units