Edge Length of Cuboctahedron given Midsphere Radius Calculator

✖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.ⓘ Midsphere Radius of Cuboctahedron [r_m]

+10%

-10%

✖Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.ⓘ Edge Length of Cuboctahedron given Midsphere Radius [l_e]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

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
l_e = 2/sqrt(3)*r_m
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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

l_e = 2/sqrt(3)*r_m --> 2/sqrt(3)*9

Evaluating ... ...

l_e = 10.3923048454133

STEP 3: Convert Result to Output's Unit

10.3923048454133 Meter --> No Conversion Required

FINAL ANSWER

10.3923048454133 ≈ 10.3923 Meter <-- Edge Length of Cuboctahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cuboctahedron » Edge Length of Cuboctahedron » Edge Length of Cuboctahedron given Midsphere Radius

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< Edge Length of Cuboctahedron Calculators

Edge Length of Cuboctahedron given Total Surface Area

LaTeX Go Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))

Edge Length of Cuboctahedron given Volume

LaTeX Go Edge Length of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

Edge Length of Cuboctahedron given Midsphere Radius

LaTeX Go Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron given Circumsphere Radius

LaTeX Go Edge Length of Cuboctahedron = 1*Circumsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron given Midsphere Radius Formula

LaTeX Go

Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
l_e = 2/sqrt(3)*r_m

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 l_e 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 (r_m) 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 l_e = 2/sqrt(3)*r_m 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 (r_m). 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 3 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

Home

FREE PDFs

🔍 Search