The formula to calculate the Edge Length of Dodecahedron is:
\[ le = \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}} \]
Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron. Total Surface Area of Dodecahedron is the total quantity of plane enclosed by the entire surface of the Dodecahedron.
Let's assume the following values:
Using the formula:
\[ le = \sqrt{\frac{2100}{3 \cdot \sqrt{25 + (10 \cdot \sqrt(5))}}} = 10.0854327582286 \]
The Edge Length is 10.0854327582286 Meters.
| Total Surface Area (Square Meters) | Edge Length (Meters) |
|---|---|
| 2000 | 9.842374564472816 |
| 2050 | 9.964644775106937 |
| 2100 | 10.085432758228599 |
| 2150 | 10.204791146683752 |
| 2200 | 10.322769530223932 |