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. For 7th grade, in a paragraph(2 points)

Answer 1

To find the volume of a rectangular pyramid, you can use the formula:

\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}. \]

In this problem, the base area of the pyramid is given as 200 square meters, and the height is 75 meters. Plugging these values into the formula, we calculate:

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

First, multiply the base area by the height:

\[ 200 \times 75 = 15000. \]

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

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

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