Question
What is the volume of the pyramid in cubic feet?
(1 point) 24 ft wide, 15 ft long, 20ft tall
(1 point) 24 ft wide, 15 ft long, 20ft tall
Answers
GPT-4o mini
To find the volume of a pyramid, you can use the formula:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
In this case, the base of the pyramid is a rectangle with a width of 24 feet and a length of 15 feet. First, we need to calculate the base area:
\[
\text{Base Area} = \text{Width} \times \text{Length} = 24 \, \text{ft} \times 15 \, \text{ft} = 360 \, \text{ft}^2
\]
Now we can plug the base area and the height (20 ft) into the volume formula:
\[
\text{Volume} = \frac{1}{3} \times 360 \, \text{ft}^2 \times 20 \, \text{ft}
\]
Calculating that:
\[
\text{Volume} = \frac{1}{3} \times 7200 \, \text{ft}^3 = 2400 \, \text{ft}^3
\]
So, the volume of the pyramid is **2400 cubic feet**.
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
In this case, the base of the pyramid is a rectangle with a width of 24 feet and a length of 15 feet. First, we need to calculate the base area:
\[
\text{Base Area} = \text{Width} \times \text{Length} = 24 \, \text{ft} \times 15 \, \text{ft} = 360 \, \text{ft}^2
\]
Now we can plug the base area and the height (20 ft) into the volume formula:
\[
\text{Volume} = \frac{1}{3} \times 360 \, \text{ft}^2 \times 20 \, \text{ft}
\]
Calculating that:
\[
\text{Volume} = \frac{1}{3} \times 7200 \, \text{ft}^3 = 2400 \, \text{ft}^3
\]
So, the volume of the pyramid is **2400 cubic feet**.