Midsphere Radius of Cuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
rm = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*RA/V)
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
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.
Surface to Volume Ratio of Cuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Cuboctahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*RA/V) --> sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*0.4)
Evaluating ... ...
rm = 8.69333243660161
STEP 3: Convert Result to Output's Unit
8.69333243660161 Meter --> No Conversion Required
FINAL ANSWER
8.69333243660161 8.693332 Meter <-- Midsphere Radius of Cuboctahedron
(Calculation completed in 00.004 seconds)

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7 Midsphere Radius of Cuboctahedron Calculators

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

Midsphere Radius of Cuboctahedron given Surface to Volume Ratio Formula

Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
rm = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*RA/V)

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 Midsphere Radius of Cuboctahedron given Surface to Volume Ratio?

Midsphere Radius of Cuboctahedron given Surface to Volume Ratio calculator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron) to calculate the Midsphere Radius of Cuboctahedron, The Midsphere Radius of Cuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using surface to volume ratio of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Cuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Midsphere Radius of Cuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Cuboctahedron (RA/V) and hit the calculate button. Here is how the Midsphere Radius of Cuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 8.693332 = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*0.4).

FAQ

What is Midsphere Radius of Cuboctahedron given Surface to Volume Ratio?
The Midsphere Radius of Cuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using surface to volume ratio of Cuboctahedron and is represented as rm = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*RA/V) or Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron). Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.
How to calculate Midsphere Radius of Cuboctahedron given Surface to Volume Ratio?
The Midsphere Radius of Cuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using surface to volume ratio of Cuboctahedron is calculated using Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron). To calculate Midsphere Radius of Cuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Cuboctahedron (RA/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Midsphere Radius of Cuboctahedron?
In this formula, Midsphere Radius of Cuboctahedron uses Surface to Volume Ratio of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
  • Midsphere Radius of Cuboctahedron = sqrt(3)/48*Perimeter of Cuboctahedron
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