A cell phone telecommunication tower in da shape of a rectangular pyramid. Da tower stands 80m tall and rest on a base dat is 15m by 20m. Wut is da volume of da tower?

A ) 8,000 m3

B ) 70m3

C ) 24,000 m3

D ) 12,000 m3

1 answer

To calculate the volume of a rectangular pyramid, the formula is:

\[ V = \frac{1}{3} \times \text{base area} \times \text{height} \]

First, we need to calculate the base area of the rectangular base. The base dimensions are given as 15 m by 20 m.

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

The height of the pyramid (the tower) is given as 80 m.

Now we can substitute these values into the volume formula:

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

Calculating that:

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

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

The correct answer is A) 8,000 m³.