Question

Find the volume of a pyramid with a base of 18 ft squared and a height of 29 feet.

The volume of the pyramid is
  

Answer 1

The volume \( V \) of a pyramid can be calculated using the formula:

\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]

Given that the base area is \( 18 \, \text{ft}^2 \) and the height is \( 29 \, \text{ft} \), we can substitute these values into the formula:

\[
V = \frac{1}{3} \times 18 \, \text{ft}^2 \times 29 \, \text{ft}
\]

Calculating the volume:

\[
V = \frac{1}{3} \times 18 \times 29
\]

First, calculate \( 18 \times 29 \):

\[
18 \times 29 = 522
\]

Now, divide by 3:

\[
V = \frac{522}{3} = 174
\]

Thus, the volume of the pyramid is:

\[
\boxed{174} \, \text{ft}^3
\]