The formula to calculate the Volume of Icosahedron is:
\[ V = \frac{3 + \sqrt{5}}{12 \cdot \sqrt{5}} \left( \frac{TSA}{\sqrt{3}} \right)^{\frac{3}{2}} \]
Volume of Icosahedron is the total quantity of three-dimensional space enclosed by the surface of the Icosahedron. Total Surface Area of Icosahedron is the total quantity of plane enclosed by the entire surface of the Icosahedron.
Let's assume the following values:
Using the formula:
\[ V = \frac{3 + \sqrt{5}}{12 \cdot \sqrt{5}} \left( \frac{870}{\sqrt{3}} \right)^{\frac{3}{2}} = 2196.7314403308 \]
The Volume is 2196.7314403308 Cubic Meters.
| Total Surface Area (Square Meters) | Volume (Cubic Meters) |
|---|---|
| 850 | 2,121.419103989247105 |
| 860 | 2,158.965805013080626 |
| 870 | 2,196.731440330799614 |
| 880 | 2,234.714748020719071 |
| 890 | 2,272.914487733935403 |