The formula to calculate the Volume (V) of a Tetrahedron given the Edge Length (le) is:
\[ V = \frac{le^3}{6 \sqrt{2}} \]
Where:
The Volume of a Tetrahedron is the total quantity of three-dimensional space enclosed by the surface of the Tetrahedron.
The Edge Length of a Tetrahedron is the length of any of the edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.
Let's assume the following value:
Using the formula:
\[ V = \frac{10^3}{6 \sqrt{2}} \]
Evaluating:
\[ V = \frac{1000}{6 \sqrt{2}} \approx 117.851130197758 \]
The Volume is approximately 117.851130197758 cubic meters.
| Edge Length (le) (m) | Volume (V) (m³) |
|---|---|
| 5 | 14.731391274720 |
| 10 | 117.851130197758 |
| 15 | 397.747564417433 |
| 20 | 942.809041582063 |
| 25 | 1,841.423909339967 |