To find the volume \( V \) of a rectangular pyramid, you can use the formula:
\[ V = \frac{1}{3} \times B \times h \]
where \( B \) is the area of the base and \( h \) is the height of the pyramid.
In this problem:
- The area of the base \( B \) is given as 200 square meters.
- The height \( h \) is given as 75 meters.
Now, we can substitute these values into the formula:
\[ V = \frac{1}{3} \times 200 , \text{m}^2 \times 75 , \text{m} \]
Now, let's calculate \( V \):
-
Multiply the base area by the height: \[ 200 , \text{m}^2 \times 75 , \text{m} = 15000 , \text{m}^3 \]
-
Now, multiply this result by \( \frac{1}{3} \): \[ V = \frac{1}{3} \times 15000 , \text{m}^3 = 5000 , \text{m}^3 \]
So, the volume of the rectangular pyramid is:
\[ \boxed{5000} , \text{cubic meters} \]