Calculate the volume of a truncated pyramid.
The Truncated Pyramid Volume Calculator is a tool used to determine the volume of a truncated pyramid, which is a three-dimensional shape with a polygonal base where the top section is removed parallel to the base. This calculator aids in finding the total space enclosed within this geometric figure.
Formula of Truncated Pyramid Volume Calculator
The formula for calculating the volume of a truncated pyramid is given as:
V = (h/3) * (A1 + A2 + √(A1 * A2))
Where:
- V represents the volume of the truncated pyramid.
- h signifies the height of the truncated pyramid.
- A1 denotes the area of the larger base.
- A2 stands for the area of the smaller base.
General Terms Table
Here's a table summarizing the general terms related to truncated pyramids that people often search for:
| Term | Definition |
|---|---|
| Truncated Pyramid | A three-dimensional shape with a base and top section cut parallelly. |
| Volume | The total enclosed space within a geometric figure. |
| Height | The vertical distance or measurement of an object. |
| Area | The measure of the space inside a two-dimensional figure. |
Example of Truncated Pyramid Volume Calculator
Suppose a truncated pyramid has a height of 8 meters, a larger base area of 30 square meters, and a smaller base area of 18 square meters. Utilizing the Truncated Pyramid Volume Calculator with these values:
V = (8/3) * (30 + 18 + √(30 * 18)) V ≈ 96 cubic meters
This example illustrates how the calculator functions by providing the volume of the given truncated pyramid.
Most Common FAQs
A: Simply input the height, area of the larger base, and area of the smaller base into their respective fields and click "Calculate" to obtain the volume.
A: Yes, ensure all inputs use the same units (e.g., meters for length/area) for accurate results.
A: Yes, since volume represents space, it's always a positive value.