The Hexagonal Prism Volume Calculator is a tool used to determine the volume of a hexagonal prism, a geometric shape characterized by a hexagonal base and six rectangular faces. It calculates the total space enclosed within this prism based on the length of one side of the hexagonal base (denoted as ‘a’) and the height of the prism (‘h’).
Formula of Hexagonal Prism Volume Calculator
The formula for calculating the volume of a hexagonal prism is:
Volume (V) = (3 * √3 * a² * h) / 2
Where:
- V is the volume of the hexagonal prism.
- ‘a’ represents the length of one side of the regular hexagonal base.
- ‘h’ represents the height of the prism.
Table of General Terms
| Term | Description |
|---|---|
| Hexagonal Prism | A geometric figure with a hexagonal base and six rectangular faces. |
| Volume | The total space enclosed within a three-dimensional object. |
| Height | The vertical distance or elevation of an object or figure. |
| Regular Hexagon | A six-sided polygon with all sides and angles equal. |
Example of Hexagonal Prism Volume Calculator
Let’s consider an example to illustrate the use of the Hexagonal Prism Volume Calculator.
Suppose we have a hexagonal prism with a side length (‘a’) of 5 meters and a height (‘h’) of 8 meters. Using the formula provided:
V = (3 * √3 * 5² * 8) / 2 V = (3 * √3 * 25 * 8) / 2 V = (3 * 75 * 8) / 2 V = 180√3 cubic meters (approx.)
Most Common FAQs:
A hexagonal prism is a three-dimensional shape that has a hexagonal base and six rectangular faces.
The formula for calculating the volume of a hexagonal prism is (3 * √3 * a² * h) / 2, where ‘a’ represents the side length of the base and ‘h’ represents the height of the prism.