The formula to calculate the Surface to Volume Ratio (RA/V) of an Octahedron given the Edge Length (le) is:
\[ RA/V = \frac{3 \sqrt{6}}{le} \]
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 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:
\[ RA/V = \frac{3 \sqrt{6}}{10} \]
Evaluating:
\[ RA/V \approx 0.734846922834953 \]
The Surface to Volume Ratio is approximately 0.734846922834953 1/m.
| Edge Length (le) (m) | Surface to Volume Ratio (RA/V) (1/m) |
|---|---|
| 5 | 1.469693845670 |
| 10 | 0.734846922835 |
| 15 | 0.489897948557 |
| 20 | 0.367423461417 |
| 25 | 0.293938769134 |