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)
• 12,000 m³
• 8,000 m³
• 70 m³
• 24,000 m³
To find the volume of the rectangular pyramid tower, we use the formula:
Volume = (1/3) * Base Area * Height
First, we need to find the base area:
Base Area = Length * Width
Base Area = 15 m * 20 m
Base Area = 300 m²
Now we can plug the values into the formula:
Volume = (1/3) * 300 m² * 80 m
Volume = (1/3) * 24000 m³
Volume = 8000 m³
Therefore, the volume of the tower is 8,000 m³.
The correct answer is:
• 8,000 m³