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 your work.(2 points)

for 7th grade, in a paragraph

1 answer

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 case, the base area of the pyramid is given as 200 square meters, and the height is 75 meters. We can plug these values into the formula:

\[ \text{Volume} = \frac{1}{3} \times 200 , \text{m}^2 \times 75 , \text{m} \]

First, we calculate the product of the base area and the height:

\[ 200 \times 75 = 15000 , \text{m}^3 \]

Now we divide this result by 3 to find the volume:

\[ \text{Volume} = \frac{15000}{3} = 5000 , \text{m}^3 \]

Thus, the volume of the rectangular pyramid is 5000 cubic meters.