The formula to calculate the Total Surface Area of an Octahedron (\(TSA\)) is:
\[ TSA = 2 \times \sqrt{3} \times l_e^2 \]
Where:
The Total Surface Area of an Octahedron is the total quantity of plane 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:
\[ TSA = 2 \times \sqrt{3} \times 10^2 \]
Evaluating:
\[ TSA = 346.410161513775 \]
The Total Surface Area is 346.4102 m².
| Edge Length (m) | Total Surface Area (m²) |
|---|---|
| 1 | 3.4641 |
| 2 | 13.8564 |
| 3 | 31.1769 |
| 4 | 55.4256 |
| 5 | 86.6025 |
| 6 | 124.7077 |
| 7 | 169.7410 |
| 8 | 221.7025 |
| 9 | 280.5922 |
| 10 | 346.4102 |