Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))
rm = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(RA/V*(11+(7*sqrt(2)))))
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 Truncated Cuboctahedron - (Measured in Meter) - Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere.
Surface to Volume Ratio of Truncated Cuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Truncated Cuboctahedron is the numerical ratio of the total surface area of a Truncated Cuboctahedron to the volume of the Truncated Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Truncated Cuboctahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(RA/V*(11+(7*sqrt(2))))) --> sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(0.2*(11+(7*sqrt(2)))))
Evaluating ... ...
rm = 16.7173920531925
STEP 3: Convert Result to Output's Unit
16.7173920531925 Meter --> No Conversion Required
FINAL ANSWER
16.7173920531925 16.71739 Meter <-- Midsphere Radius of Truncated Cuboctahedron
(Calculation completed in 00.004 seconds)

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Midsphere Radius of Truncated Cuboctahedron Calculators

Midsphere Radius of Truncated Cuboctahedron given Total Surface Area
​ LaTeX ​ Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius
​ LaTeX ​ Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2))))
Midsphere Radius of Truncated Cuboctahedron given Volume
​ LaTeX ​ Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
Midsphere Radius of Truncated Cuboctahedron
​ LaTeX ​ Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio Formula

​LaTeX ​Go
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))
rm = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(RA/V*(11+(7*sqrt(2)))))

What is a Truncated Cuboctahedron?

In geometry, the Truncated Cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 26 faces which include 12 square faces, 8 regular hexagonal faces, 6 regular octagonal faces, 48 vertices and 72 edges. And each vertex are identical in such a way that, at each vertex one square, one hexagon and one octagon joins. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the Truncated Cuboctahedron is a zonohedron. The Truncated Cuboctahedron can tessellate with the octagonal prism.

How to Calculate Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio?

Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio calculator uses Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))) to calculate the Midsphere Radius of Truncated Cuboctahedron, Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the surface to volume ratio of the Truncated Cuboctahedron. Midsphere Radius of Truncated Cuboctahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Truncated Cuboctahedron (RA/V) and hit the calculate button. Here is how the Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 16.71739 = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(0.2*(11+(7*sqrt(2))))).

FAQ

What is Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio?
Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the surface to volume ratio of the Truncated Cuboctahedron and is represented as rm = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(RA/V*(11+(7*sqrt(2))))) or Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))). Surface to Volume Ratio of Truncated Cuboctahedron is the numerical ratio of the total surface area of a Truncated Cuboctahedron to the volume of the Truncated Cuboctahedron.
How to calculate Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio?
Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the surface to volume ratio of the Truncated Cuboctahedron is calculated using Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))). To calculate Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Truncated Cuboctahedron (RA/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Truncated 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 Truncated Cuboctahedron?
In this formula, Midsphere Radius of Truncated Cuboctahedron uses Surface to Volume Ratio of Truncated Cuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
  • Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
  • Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
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