Question

what is the volume of a rectangular pyramid with a base of 325 and height. of 74 meters show ur work

Answer 1

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

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

1. **Determine the Base Area**:

If the base area is given as 325 m² (assuming that's the area and not just one dimension), you can use it directly. If 325 m refers to the length of the base:

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

However, since only 325 is provided without a corresponding width, we will assume that 325 m² is the base area as stated.

2. **Use the Height**:

The height of the pyramid is given as 74 m.

3. **Substitute into the Volume Formula**:

\[
V = \frac{1}{3} \times 325 \, \text{m}^2 \times 74 \, \text{m}
\]

4. **Calculate the Volume**:

\[
V = \frac{1}{3} \times 325 \times 74
\]

First, calculate \( 325 \times 74 \):

\[
325 \times 74 = 24150
\]

Now substitute back into the equation for volume:

\[
V = \frac{1}{3} \times 24150
\]

\[
V = 8050 \, \text{m}^3
\]

Thus, the volume of the rectangular pyramid is:

\[
\boxed{8050 \, \text{m}^3}
\]