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. 24,000 m3
2. 8,000 m3
3. 12,000 m3
4. 70 m3
The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.
First, we calculate the base area: base area = length * width
Base area = 20m * 15m = 300m^2
Now, plug in the values into the formula:
V = (1/3) * 300m^2 * 80m
V = 8,000 m^3
Therefore, the volume of the tower is 8,000 m^3.
Option 2 is correct: 8,000 m3.
are you sure that right ????
Let's recalculate to confirm:
The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.
Base area = length * width = 20m * 15m = 300m^2
Now, plug in the values into the formula:
V = (1/3) * 300m^2 * 80m
V = 8,000 m^3
After recalculating, we can confirm that the volume of the tower is indeed 8,000 m^3.
So, option 2: 8,000 m^3 is the correct answer.
are you really sure???
Let's reexamine the calculations to ensure accuracy:
Given:
Height (h) = 80 m
Base length (l) = 20 m
Base width (w) = 15 m
The volume of a rectangular pyramid is given by:
V = (1/3) * base area * height
First, calculate the base area:
Base area = l * w = 20m * 15m = 300 m²
Now, plug in the values into the formula:
V = (1/3) * 300m² * 80m
V = (1/3) * 24000 m³
V = 8000 m³
Yes, after recalculating, the volume of the tower is indeed:
8,000 m³
Therefore, the correct answer is indeed option 2: 8,000 m³.