The formula to calculate the Volume (V) of an Octahedron given the Edge Length (le) is:
\[ V = \frac{\sqrt{2}}{3} \cdot le^3 \]
Where:
The Volume of an Octahedron is the total quantity of three-dimensional space enclosed by the entire surface of the Octahedron.
The Edge Length of an Octahedron is the length of any of the edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.
Let's assume the following value:
Using the formula:
\[ V = \frac{\sqrt{2}}{3} \cdot 10^3 \]
Evaluating:
\[ V = \frac{\sqrt{2}}{3} \cdot 1000 = 471.404520791032 \]
The Volume is approximately 471.404520791032 cubic meters.
| Edge Length (le) (m) | Volume (V) (m³) |
|---|---|
| 5 | 58.925565098879 |
| 10 | 471.404520791032 |
| 15 | 1,590.990257669732 |
| 20 | 3,771.236166328254 |
| 25 | 7,365.695637359870 |