The formula to calculate the Surface to Volume Ratio (RA/V) of an Octahedron given the Volume (V) is:
\[ RA/V = \frac{3 \sqrt{6}}{\left(\frac{3V}{\sqrt{2}}\right)^{1/3}} \]
Where:
The Surface to Volume Ratio of an Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.
The Volume of an Octahedron is the total quantity of three-dimensional space enclosed by the entire surface of the Octahedron.
Let's assume the following value:
Using the formula:
\[ RA/V = \frac{3 \sqrt{6}}{\left(\frac{3 \cdot 470}{\sqrt{2}}\right)^{1/3}} \]
Evaluating:
\[ RA/V \approx 0.735578186230516 \]
The Surface to Volume Ratio is approximately 0.735578186230516 1/m.
| Volume (V) (m³) | Surface to Volume Ratio (RA/V) (1/m) |
|---|---|
| 100 | 1.232143984096 |
| 200 | 0.977953328265 |
| 300 | 0.854320922996 |
| 400 | 0.776202071032 |
| 500 | 0.720562173106 |