To find the volume of a rectangular pyramid, we use the formula \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \). In this case, the base area of the pyramid is 200 square meters and the height is 75 meters. Substituting these values into the formula, we calculate \( V = \frac{1}{3} \times 200 \times 75 \). First, we multiply the base area by the height, which gives us \( 200 \times 75 = 15000 \). Next, we substitute this result back into the volume formula, resulting in \( V = \frac{15000}{3} \). Upon completing the calculation, we find that the volume of the rectangular pyramid is 5000 cubic meters. Therefore, we conclude that the volume of the rectangular pyramid with a base area of 200 square meters and a height of 75 meters is 5000 cubic meters.
To find the volume of a rectangular pyramid, we can use the formula for the volume, which is given by:
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:
Next, we will multiply the base area by the height:
Now, we can substitute this result back into the volume formula:
To complete the calculation, we will divide 15000 by 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.
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