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
  

1 answer

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:

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