Space Diagonal of Octahedron given Insphere Radius Calculator

Calculate Space Diagonal of Octahedron



Formula

The formula to calculate the Space Diagonal of Octahedron (dSpace) is:

\[ dSpace = 2 \sqrt{3} \cdot ri \]

Where:

Definition

The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of the Octahedron.

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

How to calculate Space Diagonal of Octahedron

Let's assume the following value:

Using the formula:

\[ dSpace = 2 \sqrt{3} \cdot 4 \]

Evaluating:

\[ dSpace \approx 13.8564 \, \text{meters} \]

The Space Diagonal of Octahedron is approximately 13.8564 meters.

Conversion Chart


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Insphere Radius (ri) (meters) Space Diagonal (dSpace) (meters)