Perimeter of Cuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Cuboctahedron = 24*Circumsphere Radius of Cuboctahedron
P = 24*rc
This formula uses 2 Variables
Variables Used
Perimeter of Cuboctahedron - (Measured in Meter) - Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.
Circumsphere Radius of Cuboctahedron - (Measured in Meter) - Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.
STEP 1: Convert Input(s) to Base Unit
Circumsphere Radius of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 24*rc --> 24*10
Evaluating ... ...
P = 240
STEP 3: Convert Result to Output's Unit
240 Meter --> No Conversion Required
FINAL ANSWER
240 Meter <-- Perimeter of Cuboctahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Nikhil
Mumbai University (DJSCE), Mumbai
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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7 Perimeter of Cuboctahedron Calculators

Perimeter of Cuboctahedron given Surface to Volume Ratio
Go Perimeter of Cuboctahedron = 24*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
Perimeter of Cuboctahedron given Lateral Surface Area
Go Perimeter of Cuboctahedron = 24*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
Perimeter of Cuboctahedron given Total Surface Area
Go Perimeter of Cuboctahedron = 24*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Perimeter of Cuboctahedron given Volume
Go Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
Perimeter of Cuboctahedron given Midsphere Radius
Go Perimeter of Cuboctahedron = 48/sqrt(3)*Midsphere Radius of Cuboctahedron
Perimeter of Cuboctahedron given Circumsphere Radius
Go Perimeter of Cuboctahedron = 24*Circumsphere Radius of Cuboctahedron
Perimeter of Cuboctahedron
Go Perimeter of Cuboctahedron = 24*Edge Length of Cuboctahedron

Perimeter of Cuboctahedron given Circumsphere Radius Formula

Perimeter of Cuboctahedron = 24*Circumsphere Radius of Cuboctahedron
P = 24*rc

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 Perimeter of Cuboctahedron given Circumsphere Radius?

Perimeter of Cuboctahedron given Circumsphere Radius calculator uses Perimeter of Cuboctahedron = 24*Circumsphere Radius of Cuboctahedron to calculate the Perimeter of Cuboctahedron, The Perimeter of Cuboctahedron given Circumsphere Radius formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the circumsphere radius of Cuboctahedron. Perimeter of Cuboctahedron is denoted by P symbol.

How to calculate Perimeter of Cuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Perimeter of Cuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Cuboctahedron (rc) and hit the calculate button. Here is how the Perimeter of Cuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 240 = 24*10.

FAQ

What is Perimeter of Cuboctahedron given Circumsphere Radius?
The Perimeter of Cuboctahedron given Circumsphere Radius formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the circumsphere radius of Cuboctahedron and is represented as P = 24*rc or Perimeter of Cuboctahedron = 24*Circumsphere Radius of Cuboctahedron. Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.
How to calculate Perimeter of Cuboctahedron given Circumsphere Radius?
The Perimeter of Cuboctahedron given Circumsphere Radius formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the circumsphere radius of Cuboctahedron is calculated using Perimeter of Cuboctahedron = 24*Circumsphere Radius of Cuboctahedron. To calculate Perimeter of Cuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Cuboctahedron (rc). With our tool, you need to enter the respective value for Circumsphere 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 Perimeter of Cuboctahedron?
In this formula, Perimeter of Cuboctahedron uses Circumsphere Radius of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Cuboctahedron = 24*Edge Length of Cuboctahedron
  • Perimeter of Cuboctahedron = 24*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
  • Perimeter of Cuboctahedron = 48/sqrt(3)*Midsphere Radius of Cuboctahedron
  • Perimeter of Cuboctahedron = 24*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
  • Perimeter of Cuboctahedron = 24*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
  • Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
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