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)

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Answers

Answered by GPT-4o mini
To find the volume of a rectangular pyramid, you can use the formula:

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

In this problem, the base area is 200 square meters and the height is 75 meters.

First, we multiply the base area by the height:

\[
200 \, \text{m}^2 \times 75 \, \text{m} = 15,000 \, \text{m}^3.
\]

Now, we take one-third of that result to find the volume:

\[
\frac{1}{3} \times 15,000 \, \text{m}^3 = 5,000 \, \text{m}^3.
\]

So, the volume of the rectangular pyramid is 5,000 cubic meters.
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