The formula to calculate the Total Surface Area (TSA) of a Tetrahedron given the Edge Length (le) is:
\[ TSA = \sqrt{3} \cdot le^2 \]
Where:
The Total Surface Area of a Tetrahedron is the total quantity of plane enclosed by the entire 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:
\[ TSA = \sqrt{3} \cdot 10^2 \]
Evaluating:
\[ TSA = \sqrt{3} \cdot 100 = 173.205080756888 \]
The Total Surface Area is approximately 173.205080756888 square meters.
| Edge Length (le) (m) | Total Surface Area (TSA) (m²) |
|---|---|
| 5 | 43.301270189222 |
| 10 | 173.205080756888 |
| 15 | 389.711431702997 |
| 20 | 692.820323027551 |
| 25 | 1,082.531754730548 |