Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius Calculator

✖Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Tetrakis Hexahedron [r_i]

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✖Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron.ⓘ Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius [l_e(Cube)]

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Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cubical Edge Length of Tetrakis Hexahedron = (10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5))
l_e(Cube) = (10*r_i)/(3*sqrt(5))
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

Cubical Edge Length of Tetrakis Hexahedron - (Measured in Meter) - Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron.
Insphere Radius of Tetrakis Hexahedron - (Measured in Meter) - Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Tetrakis Hexahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Cube) = (10*r_i)/(3*sqrt(5)) --> (10*6)/(3*sqrt(5))

Evaluating ... ...

l_e(Cube) = 8.94427190999916

STEP 3: Convert Result to Output's Unit

8.94427190999916 Meter --> No Conversion Required

FINAL ANSWER

8.94427190999916 ≈ 8.944272 Meter <-- Cubical Edge Length of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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< Cubical Edge Length of Tetrakis Hexahedron Calculators

Cubical Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio

LaTeX Go Cubical Edge Length of Tetrakis Hexahedron = (2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron

Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius

LaTeX Go Cubical Edge Length of Tetrakis Hexahedron = (10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5))

Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius

LaTeX Go Cubical Edge Length of Tetrakis Hexahedron = sqrt(2)*Midsphere Radius of Tetrakis Hexahedron

Cubical Edge Length of Tetrakis Hexahedron given Volume

LaTeX Go Cubical Edge Length of Tetrakis Hexahedron = ((2*Volume of Tetrakis Hexahedron)/3)^(1/3)

Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius Formula

LaTeX Go

Cubical Edge Length of Tetrakis Hexahedron = (10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5))
l_e(Cube) = (10*r_i)/(3*sqrt(5))

What is Tetrakis Hexahedron?

In geometry, a Tetrakis Hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid. It can be called a disdyakis hexahedron or hexakis tetrahedron as the dual of an omnitruncated tetrahedron, and as the barycentric subdivision of a tetrahedron. It has 24 faces, 36 edges, 14 vertices.

How to Calculate Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius?

Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius calculator uses Cubical Edge Length of Tetrakis Hexahedron = (10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)) to calculate the Cubical Edge Length of Tetrakis Hexahedron, Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron. Cubical Edge Length of Tetrakis Hexahedron is denoted by l_e(Cube) symbol.

How to calculate Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius using this online calculator? To use this online calculator for Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius, enter Insphere Radius of Tetrakis Hexahedron (r_i) and hit the calculate button. Here is how the Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius calculation can be explained with given input values -> 8.944272 = (10*6)/(3*sqrt(5)).

FAQ

What is Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius?

Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron and is represented as l_e(Cube) = (10*r_i)/(3*sqrt(5)) or Cubical Edge Length of Tetrakis Hexahedron = (10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)). Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.

How to calculate Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius?

Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron is calculated using Cubical Edge Length of Tetrakis Hexahedron = (10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)). To calculate Cubical Edge Length of Tetrakis Hexahedron given Insphere Radius, you need Insphere Radius of Tetrakis Hexahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Tetrakis Hexahedron 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 Cubical Edge Length of Tetrakis Hexahedron?

In this formula, Cubical Edge Length of Tetrakis Hexahedron uses Insphere Radius of Tetrakis Hexahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cubical Edge Length of Tetrakis Hexahedron = (2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron
Cubical Edge Length of Tetrakis Hexahedron = sqrt(2)*Midsphere Radius of Tetrakis Hexahedron
Cubical Edge Length of Tetrakis Hexahedron = ((2*Volume of Tetrakis Hexahedron)/3)^(1/3)

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