Midsphere Radius of Truncated Cuboctahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
rm = sqrt(12+(6*sqrt(2)))/2*le
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.
Edge Length of Truncated Cuboctahedron - (Measured in Meter) - Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Truncated Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = sqrt(12+(6*sqrt(2)))/2*le --> sqrt(12+(6*sqrt(2)))/2*10
Evaluating ... ...
rm = 22.6303343845371
STEP 3: Convert Result to Output's Unit
22.6303343845371 Meter --> No Conversion Required
FINAL ANSWER
22.6303343845371 22.63033 Meter <-- Midsphere Radius of Truncated Cuboctahedron
(Calculation completed in 00.004 seconds)

Credits

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St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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5 Midsphere Radius of Truncated Cuboctahedron Calculators

Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio
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)))))
Midsphere Radius of Truncated Cuboctahedron given Total Surface Area
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
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
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
Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron Formula

Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
rm = sqrt(12+(6*sqrt(2)))/2*le

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?

Midsphere Radius of Truncated Cuboctahedron calculator uses Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron to calculate the Midsphere Radius of Truncated Cuboctahedron, Midsphere Radius of Truncated Cuboctahedron 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. Midsphere Radius of Truncated Cuboctahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Truncated Cuboctahedron using this online calculator? To use this online calculator for Midsphere Radius of Truncated Cuboctahedron, enter Edge Length of Truncated Cuboctahedron (le) and hit the calculate button. Here is how the Midsphere Radius of Truncated Cuboctahedron calculation can be explained with given input values -> 22.63033 = sqrt(12+(6*sqrt(2)))/2*10.

FAQ

What is Midsphere Radius of Truncated Cuboctahedron?
Midsphere Radius of Truncated Cuboctahedron 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 is represented as rm = sqrt(12+(6*sqrt(2)))/2*le or Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron. Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron.
How to calculate Midsphere Radius of Truncated Cuboctahedron?
Midsphere Radius of Truncated Cuboctahedron 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 is calculated using Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron. To calculate Midsphere Radius of Truncated Cuboctahedron, you need Edge Length of Truncated Cuboctahedron (le). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Truncated Cuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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 = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))
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