Question

what is the volume of the rectangular pyramid with a base area of 52.5 and height of 5

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 that the base area is \( 52.5 \) and the height is \( 5 \), you can substitute these values into the formula:

\[
V = \frac{1}{3} \times 52.5 \times 5
\]

First, calculate \( 52.5 \times 5 \):

\[
52.5 \times 5 = 262.5
\]

Now, substitute this value back into the volume formula:

\[
V = \frac{1}{3} \times 262.5
\]

Now divide \( 262.5 \) by \( 3 \):

\[
V = 87.5
\]

Thus, the volume of the rectangular pyramid is \( 87.5 \) cubic units.