Question

what is the volume of the rectangular pyramid round to the nearest hundredth, base area of 40 and a height of 10

Answer 1

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

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

Given:
- Base Area = 40
- Height = 10

Substituting the values into the formula:

\[
V = \frac{1}{3} \times 40 \times 10
\]

Calculating it step by step:

1. Multiply the base area by the height:
\[
40 \times 10 = 400
\]

2. Now, multiply by \(\frac{1}{3}\):
\[
V = \frac{400}{3} \approx 133.33
\]

Rounded to the nearest hundredth, the volume of the rectangular pyramid is:

\[
\boxed{133.33}
\]