A yeye ahh 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)

Responses

12,000 m3
12,000 m cubed

70 m3
70 m cubed

24,000 m3
24,000 m cubed

8,000 m3

1 answer

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

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

First, calculate the base area of the rectangle:

\[ \text{Base Area} = \text{length} \times \text{width} = 15 , \text{m} \times 20 , \text{m} = 300 , \text{m}^2 \]

Next, we need to multiply the base area by the height of the pyramid, which is 80 m:

\[ \text{Height} = 80 , \text{m} \]

Now, substitute these values into the volume formula:

\[ \text{Volume} = \frac{1}{3} \times 300 , \text{m}^2 \times 80 , \text{m} = \frac{1}{3} \times 24000 , \text{m}^3 = 8000 , \text{m}^3 \]

Therefore, the volume of the tower is \( \text{8000 m}^3 \).

The correct response is:

8,000 m³