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Surface to Volume Ratio of Octahedron Calculator

Formula

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:

$RA/V$ is the Surface to Volume Ratio of the Octahedron (measured in 1 per meter).
$le$ is the Edge Length of the Octahedron (measured in meters).

Definition

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.

How to calculate Surface to Volume Ratio of Octahedron given Edge Length

Let's assume the following value:

Edge Length (le) = 10 meters

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.

Conversion Chart

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