Circumsphere Radius of Cuboctahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
rc = ((3*V)/(5*sqrt(2)))^(1/3)
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
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.
Volume of Cuboctahedron - (Measured in Cubic Meter) - Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Cuboctahedron: 2360 Cubic Meter --> 2360 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = ((3*V)/(5*sqrt(2)))^(1/3) --> ((3*2360)/(5*sqrt(2)))^(1/3)
Evaluating ... ...
rc = 10.0042089021329
STEP 3: Convert Result to Output's Unit
10.0042089021329 Meter --> No Conversion Required
FINAL ANSWER
10.0042089021329 10.00421 Meter <-- Circumsphere Radius 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 Circumsphere Radius of Cuboctahedron Calculators

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

Circumsphere Radius of Cuboctahedron given Volume Formula

Circumsphere Radius of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
rc = ((3*V)/(5*sqrt(2)))^(1/3)

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 Circumsphere Radius of Cuboctahedron given Volume?

Circumsphere Radius of Cuboctahedron given Volume calculator uses Circumsphere Radius of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3) to calculate the Circumsphere Radius of Cuboctahedron, The Circumsphere Radius of Cuboctahedron given Volume formula is defined as the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of Cuboctahedron. Circumsphere Radius of Cuboctahedron is denoted by rc symbol.

How to calculate Circumsphere Radius of Cuboctahedron given Volume using this online calculator? To use this online calculator for Circumsphere Radius of Cuboctahedron given Volume, enter Volume of Cuboctahedron (V) and hit the calculate button. Here is how the Circumsphere Radius of Cuboctahedron given Volume calculation can be explained with given input values -> 10.00421 = ((3*2360)/(5*sqrt(2)))^(1/3).

FAQ

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