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.
The formula for the volume of a rectangular pyramid is 1/3 × base area × height.
In this problem, the base area is given as 200 square meters and the height is given as 75 meters.
So, the volume of the rectangular pyramid is:
1/3 × 200 square meters × 75 meters
= 5000 cubic meters
Therefore, the volume of the rectangular pyramid is 5000 cubic meters.
To find the volume of a rectangular pyramid, you can use the formula:
Volume = (1/3) * base area * height
Given that the base has an area of 200 square meters and the height is 75 meters, we can substitute these values into the formula:
Volume = (1/3) * 200 * 75
First, multiply 200 and 75:
Volume = (1/3) * 15000
Next, divide 15000 by 3:
Volume = 5000
Therefore, the volume of the rectangular pyramid is 5000 cubic meters.