A rectangular pyramid with the base of 12 feet by 8 feet need to be filled with balloons. if the pyramid 16 feet tall, how much space is available for the balloons?
please answer......
The Volume of a Pyramid
1/3 × [Base Area] × Height
V = (1/3)(96)(16)
V = ?
To find the space available for the balloons, we need to calculate the volume of the rectangular pyramid. The volume of a rectangular pyramid can be calculated using the formula:
Volume = (Base Area * Height) / 3
Given that the base of the pyramid is 12 feet by 8 feet, the base area can be calculated as:
Base Area = Length * Width = 12 ft * 8 ft = 96 ft²
The height of the pyramid is given as 16 feet.
Now, we can substitute the values into the volume formula:
Volume = (96 ft² * 16 ft) / 3
Simplifying the equation:
Volume = 1536 ft³ / 3
Volume ≈ 512 ft³
Therefore, the space available for the balloons in the rectangular pyramid is approximately 512 cubic feet.