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)

Responses

24,000 m3
  24,000 m cubed

8,000 m3
8,000 m cubed

70 m3
  70 m cubed

12,000 m3
  12,000 m cubed
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1 answer

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: The base of the pyramid is a rectangle with dimensions 15 m by 20 m.

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

  1. Use the height: The height of the pyramid is 80 m.

  2. Calculate the volume:

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

Therefore, the volume of the tower is 8,000 m³.