Some of the dimensions of a square pyramid are described below. The height of the square pyramid is 9 meters.

The length of the base is 8 m
the width of the base is 8 m
What is the volume of the square pyramid in cubic meters

1 answer

To calculate the volume \( V \) of a square pyramid, you can use the formula:

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

For a square pyramid, the base area is given by:

\[ \text{Base Area} = \text{Length} \times \text{Width} \]

In this case, since it's a square pyramid, the length and the width of the base are equal (8 m in this case):

\[ \text{Base Area} = 8 , \text{m} \times 8 , \text{m} = 64 , \text{m}^2 \]

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

\[ V = \frac{1}{3} \times 64 , \text{m}^2 \times 9 , \text{m} \]

Calculating this:

\[ V = \frac{1}{3} \times 576 , \text{m}^3 = 192 , \text{m}^3 \]

Therefore, the volume of the square pyramid is \( 192 , \text{cubic meters} \).