Question

WHAT IS THE VOLUME OF THE PYRAMID IN CUBIC FEET?
(its a rectangular pyramid)
long edge is 24 ft. and short edge is 15 ft. and height is 20 ft.

Answer 1

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

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

First, we calculate the base area of the rectangular base:

\[
\text{Base Area} = \text{Length} \times \text{Width} = 24 \, \text{ft} \times 15 \, \text{ft} = 360 \, \text{ft}^2
\]

Now we can substitute the base area and the height into the volume formula:

\[
V = \frac{1}{3} \times 360 \, \text{ft}^2 \times 20 \, \text{ft}
\]

Now, calculate the volume:

\[
V = \frac{1}{3} \times 360 \times 20 = \frac{7200}{3} = 2400 \, \text{ft}^3
\]

Therefore, the volume of the pyramid is \( \boxed{2400} \) cubic feet.