## Edge Length of Octahedron given Space Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2)
le = dSpace/sqrt(2)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Edge Length of Octahedron - (Measured in Meter) - Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.
Space Diagonal of Octahedron - (Measured in Meter) - The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.
STEP 1: Convert Input(s) to Base Unit
Space Diagonal of Octahedron: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = dSpace/sqrt(2) --> 14/sqrt(2)
Evaluating ... ...
le = 9.89949493661167
STEP 3: Convert Result to Output's Unit
9.89949493661167 Meter --> No Conversion Required
9.89949493661167 9.899495 Meter <-- Edge Length of Octahedron
(Calculation completed in 00.003 seconds)
You are here -
Home » Math »

## Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 700+ more calculators!
Verified by Nikhil
Mumbai University (DJSCE), Mumbai
Nikhil has verified this Calculator and 200+ more calculators!

## < 7 Edge Length of Octahedron Calculators

Edge Length of Octahedron given Total Surface Area
Edge Length of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))
Edge Length of Octahedron given Surface to Volume Ratio
Edge Length of Octahedron = (3*sqrt(6))/Surface to Volume Ratio of Octahedron
Edge Length of Octahedron given Circumsphere Radius
Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron
Edge Length of Octahedron given Volume
Edge Length of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)
Edge Length of Octahedron given Insphere Radius
Edge Length of Octahedron = sqrt(6)*Insphere Radius of Octahedron
Edge Length of Octahedron given Space Diagonal
Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2)
Edge Length of Octahedron given Midsphere Radius
Edge Length of Octahedron = 2*Midsphere Radius of Octahedron

## < 4 Edge Length of Octahedron Calculators

Edge Length of Octahedron given Volume
Edge Length of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)
Edge Length of Octahedron given Insphere Radius
Edge Length of Octahedron = sqrt(6)*Insphere Radius of Octahedron
Edge Length of Octahedron given Space Diagonal
Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2)
Edge Length of Octahedron given Midsphere Radius
Edge Length of Octahedron = 2*Midsphere Radius of Octahedron

## Edge Length of Octahedron given Space Diagonal Formula

Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2)
le = dSpace/sqrt(2)

## What is an Octahedron?

An Octahedron is a symmetric and closed three dimensional shape with 8 identical equilateral triangular faces. It is a Platonic solid, which has 8 faces, 6 vertices and 12 edges. At each vertex, four equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

## What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

## How to Calculate Edge Length of Octahedron given Space Diagonal?

Edge Length of Octahedron given Space Diagonal calculator uses Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2) to calculate the Edge Length of Octahedron, The Edge Length of Octahedron given Space Diagonal formula is defined as the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron, and calculated using the space diagonal of the Octahedron. Edge Length of Octahedron is denoted by le symbol.

How to calculate Edge Length of Octahedron given Space Diagonal using this online calculator? To use this online calculator for Edge Length of Octahedron given Space Diagonal, enter Space Diagonal of Octahedron (dSpace) and hit the calculate button. Here is how the Edge Length of Octahedron given Space Diagonal calculation can be explained with given input values -> 9.899495 = 14/sqrt(2).

### FAQ

What is Edge Length of Octahedron given Space Diagonal?
The Edge Length of Octahedron given Space Diagonal formula is defined as the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron, and calculated using the space diagonal of the Octahedron and is represented as le = dSpace/sqrt(2) or Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2). The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.
How to calculate Edge Length of Octahedron given Space Diagonal?
The Edge Length of Octahedron given Space Diagonal formula is defined as the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron, and calculated using the space diagonal of the Octahedron is calculated using Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2). To calculate Edge Length of Octahedron given Space Diagonal, you need Space Diagonal of Octahedron (dSpace). With our tool, you need to enter the respective value for Space Diagonal of Octahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Edge Length of Octahedron?
In this formula, Edge Length of Octahedron uses Space Diagonal of Octahedron. We can use 9 other way(s) to calculate the same, which is/are as follows -
• Edge Length of Octahedron = 2*Midsphere Radius of Octahedron
• Edge Length of Octahedron = sqrt(6)*Insphere Radius of Octahedron
• Edge Length of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))
• Edge Length of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)
• Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron
• Edge Length of Octahedron = (3*sqrt(6))/Surface to Volume Ratio of Octahedron
• Edge Length of Octahedron = sqrt(6)*Insphere Radius of Octahedron
• Edge Length of Octahedron = 2*Midsphere Radius of Octahedron
• Edge Length of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)
Let Others Know