A tent is in the shape of a square pyramid. The side length of the tent’s base is 9 feet, and the tent's height is 6.5 feet. 

 
What is the volume of the tent in cubic feet?

(1 point)

1 answer

To find the volume of a square pyramid, you can use the formula:

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

First, calculate the base area of the square pyramid. Since the base is a square, the area can be calculated as:

\[ \text{Base Area} = \text{side length}^2 = 9^2 = 81 \text{ square feet} \]

Now, plug the base area and the height into the volume formula:

\[ \text{Volume} = \frac{1}{3} \times 81 \times 6.5 \]

Calculating the product of \(81\) and \(6.5\):

\[ 81 \times 6.5 = 526.5 \]

Now, find the volume:

\[ \text{Volume} = \frac{1}{3} \times 526.5 = 175.5 \text{ cubic feet} \]

Therefore, the volume of the tent is

\[ \boxed{175.5} \text{ cubic feet.} \]