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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...Asked by Noid
Solve da problem. Wut is da volume of a rectangular pyramid with a base of 200 square meter n a height of 75 meters? show ur work
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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 your case, the base area is given as 200 square meters, and the height is 75 meters. Using these values, we can plug them into the formula:
1. Identify the base area and height:
- Base Area (B) = 200 m²
- Height (h) = 75 m
2. Substitute the values into the formula:
\[
\text{Volume} = \frac{1}{3} \times 200 \, \text{m}^2 \times 75 \, \text{m}
\]
3. Calculate the volume step-by-step:
\[
\text{Volume} = \frac{1}{3} \times 200 \times 75
\]
\[
\text{Volume} = \frac{1}{3} \times 15000
\]
\[
\text{Volume} = 5000 \, \text{m}^3
\]
So, the volume of the rectangular pyramid is **5000 cubic meters**.
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
In your case, the base area is given as 200 square meters, and the height is 75 meters. Using these values, we can plug them into the formula:
1. Identify the base area and height:
- Base Area (B) = 200 m²
- Height (h) = 75 m
2. Substitute the values into the formula:
\[
\text{Volume} = \frac{1}{3} \times 200 \, \text{m}^2 \times 75 \, \text{m}
\]
3. Calculate the volume step-by-step:
\[
\text{Volume} = \frac{1}{3} \times 200 \times 75
\]
\[
\text{Volume} = \frac{1}{3} \times 15000
\]
\[
\text{Volume} = 5000 \, \text{m}^3
\]
So, the volume of the rectangular pyramid is **5000 cubic meters**.
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