A cell phone telecommunication tower stands in the shape of a rectangular pyramid. The tower stands 80 m tall and rests on a base that is 15 m by 20 m. What is the volume of the tower.

a. 8,000 m^3
b. 24,000 m^3
c. 12,000 m^3
d. 70 m^3

1 answer

b. 24,000 m^3

To calculate the volume of a rectangular pyramid, you use the formula V = (1/3) * base area * height.

First, calculate the base area:
Base Area = 15m * 20m = 300 m^2

Now plug the numbers into the formula:
V = (1/3) * 300 m^2 * 80 m
V = (1/3) * 24000 m^3
V = 24,000 m^3

Therefore, the volume of the tower is 24,000 m^3.