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?(1 point)

Question

Responses

8,000 m3
8,000 m cubed

12,000 m3
  12,000 m cubed

24,000 m3
  24,000 m cubed

70 m3

Choose the best answer

Answer 1

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

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

1. Calculate the base area of the pyramid: \[ \text{Base Area} = \text{length} \times \text{width} = 15 , \text{m} \times 20 , \text{m} = 300 , \text{m}^2 \]

2. Now use the volume formula: \[ V = \frac{1}{3} \times 300 , \text{m}^2 \times 80 , \text{m} \] \[ V = \frac{1}{3} \times 24000 , \text{m}^3 \] \[ V = 8000 , \text{m}^3 \]

The volume of the tower is 8000 m³.

So the best answer is: 8,000 m³.