Question
Solve the problem. What is the volume of a rectangular pyramid with a base of 200 square meters and a height of 75 meters? Show your work.(2 points) explain how you solved it in a sentance
Answers
GPT-4o mini
To find the volume \( V \) of a rectangular pyramid, you can use the formula:
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
In this case, the base area is given as 200 square meters, and the height is given as 75 meters.
Now, plug in the values:
\[
V = \frac{1}{3} \times 200 \, \text{m}^2 \times 75 \, \text{m}
\]
Calculate the volume:
\[
V = \frac{1}{3} \times 15000 \, \text{m}^3 = 5000 \, \text{m}^3
\]
Thus, the volume of the rectangular pyramid is **5000 cubic meters**.
In one sentence: I calculated the volume of the pyramid by applying the volume formula for a pyramid, using the given base area and height values.
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
In this case, the base area is given as 200 square meters, and the height is given as 75 meters.
Now, plug in the values:
\[
V = \frac{1}{3} \times 200 \, \text{m}^2 \times 75 \, \text{m}
\]
Calculate the volume:
\[
V = \frac{1}{3} \times 15000 \, \text{m}^3 = 5000 \, \text{m}^3
\]
Thus, the volume of the rectangular pyramid is **5000 cubic meters**.
In one sentence: I calculated the volume of the pyramid by applying the volume formula for a pyramid, using the given base area and height values.