## Edge Length of Cuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
le = 2/sqrt(3)*rm
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Edge Length of Cuboctahedron - (Measured in Meter) - Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.
Midsphere Radius of Cuboctahedron - (Measured in Meter) - Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.
STEP 1: Convert Input(s) to Base Unit
Midsphere Radius of Cuboctahedron: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = 2/sqrt(3)*rm --> 2/sqrt(3)*9
Evaluating ... ...
le = 10.3923048454133
STEP 3: Convert Result to Output's Unit
10.3923048454133 Meter --> No Conversion Required
10.3923048454133 10.3923 Meter <-- Edge Length of Cuboctahedron
(Calculation completed in 00.004 seconds)
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## < 7 Edge Length of Cuboctahedron Calculators

Edge Length of Cuboctahedron given Surface to Volume Ratio
Edge Length of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
Edge Length of Cuboctahedron given Lateral Surface Area
Edge Length of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
Edge Length of Cuboctahedron given Total Surface Area
Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Edge Length of Cuboctahedron given Volume
Edge Length of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
Edge Length of Cuboctahedron given Midsphere Radius
Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
Edge Length of Cuboctahedron given Circumsphere Radius
Edge Length of Cuboctahedron = 1*Circumsphere Radius of Cuboctahedron
Edge Length of Cuboctahedron given Perimeter
Edge Length of Cuboctahedron = Perimeter of Cuboctahedron/24

## Edge Length of Cuboctahedron given Midsphere Radius Formula

Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
le = 2/sqrt(3)*rm

## What is a Cuboctahedron?

A Cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is the only radially equilateral convex polyhedron.

## How to Calculate Edge Length of Cuboctahedron given Midsphere Radius?

Edge Length of Cuboctahedron given Midsphere Radius calculator uses Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron to calculate the Edge Length of Cuboctahedron, The Edge Length of Cuboctahedron given Midsphere Radius formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using midsphere radius of Cuboctahedron. Edge Length of Cuboctahedron is denoted by le symbol.

How to calculate Edge Length of Cuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Edge Length of Cuboctahedron given Midsphere Radius, enter Midsphere Radius of Cuboctahedron (rm) and hit the calculate button. Here is how the Edge Length of Cuboctahedron given Midsphere Radius calculation can be explained with given input values -> 10.3923 = 2/sqrt(3)*9.

### FAQ

What is Edge Length of Cuboctahedron given Midsphere Radius?
The Edge Length of Cuboctahedron given Midsphere Radius formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using midsphere radius of Cuboctahedron and is represented as le = 2/sqrt(3)*rm or Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron. Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.
How to calculate Edge Length of Cuboctahedron given Midsphere Radius?
The Edge Length of Cuboctahedron given Midsphere Radius formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using midsphere radius of Cuboctahedron is calculated using Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron. To calculate Edge Length of Cuboctahedron given Midsphere Radius, you need Midsphere Radius of Cuboctahedron (rm). With our tool, you need to enter the respective value for Midsphere Radius of Cuboctahedron 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 Cuboctahedron?
In this formula, Edge Length of Cuboctahedron uses Midsphere Radius of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
• Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
• Edge Length of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
• Edge Length of Cuboctahedron = 1*Circumsphere Radius of Cuboctahedron
• Edge Length of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
• Edge Length of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
• Edge Length of Cuboctahedron = Perimeter of Cuboctahedron/24
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