Question

what is the volume of the pyramid in cubic feet?
height= 20 ft
width= 15 ft
length= 24 ft

Answer 1

To calculate the volume of a pyramid, you can use the formula:

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

First, we need to calculate the area of the base. Since the base is a rectangle with a width of 15 ft and a length of 24 ft, the area of the base is:

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

Now, we can substitute this into the volume formula along with the height (20 ft):

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

Calculating this gives:

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

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