To find the volume of a rectangular pyramid, we can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
In this problem, we have:
- Base Area = 200 square meters
- Height = 75 meters
Now we can plug those numbers into the formula:
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First, we multiply the Base Area by the Height: \[ 200 , \text{m}^2 \times 75 , \text{m} = 15000 , \text{m}^3 \]
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Next, we multiply that result by \(\frac{1}{3}\): \[ \text{Volume} = \frac{1}{3} \times 15000 , \text{m}^3 = 5000 , \text{m}^3 \]
So, the volume of the rectangular pyramid is 5000 cubic meters.