To find the volume of a rectangular pyramid, we can use the formula for the volume, which is given by:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
In this problem, we are told that the base area of the pyramid is 200 square meters and the height of the pyramid is 75 meters.
First, we will substitute the values we have into the formula. The base area, which is 200 square meters, and the height, which is 75 meters, will be added into the formula like this:
\[ \text{Volume} = \frac{1}{3} \times 200 , \text{m}^2 \times 75 , \text{m} \]
Next, we will multiply the base area by the height:
\[ 200 , \text{m}^2 \times 75 , \text{m} = 15000 , \text{m}^3 \]
Now, we can substitute this result back into the volume formula:
\[ \text{Volume} = \frac{1}{3} \times 15000 , \text{m}^3 \]
To complete the calculation, we will divide 15000 by 3:
\[ \text{Volume} = 5000 , \text{m}^3 \]
Thus, the volume of the rectangular pyramid is 5000 cubic meters. Therefore, we can conclude that the volume of the rectangular pyramid with a base of 200 square meters and a height of 75 meters is 5000 cubic meters.