Insphere Radius of Tetrakis Hexahedron given Midsphere Radius Calculator

✖Midsphere Radius of Tetrakis Hexahedron is the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Tetrakis Hexahedron [r_m]

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✖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 given Midsphere Radius [r_i]

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Insphere Radius of Tetrakis Hexahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10)
r_i = (3*r_m)/sqrt(10)
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

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.
Midsphere Radius of Tetrakis Hexahedron - (Measured in Meter) - Midsphere Radius of Tetrakis Hexahedron is the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Tetrakis Hexahedron: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (3*r_m)/sqrt(10) --> (3*7)/sqrt(10)

Evaluating ... ...

r_i = 6.6407830863536

STEP 3: Convert Result to Output's Unit

6.6407830863536 Meter --> No Conversion Required

FINAL ANSWER

6.6407830863536 ≈ 6.640783 Meter <-- Insphere Radius of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Insphere Radius of Tetrakis Hexahedron Calculators

Insphere Radius of Tetrakis Hexahedron given Volume

LaTeX Go Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)

Insphere Radius of Tetrakis Hexahedron

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

Insphere Radius of Tetrakis Hexahedron given Midsphere Radius

LaTeX Go Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10)

Insphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio

LaTeX Go Insphere Radius of Tetrakis Hexahedron = 3/Surface to Volume Ratio of Tetrakis Hexahedron

Insphere Radius of Tetrakis Hexahedron given Midsphere Radius Formula

LaTeX Go

Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10)
r_i = (3*r_m)/sqrt(10)

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 Insphere Radius of Tetrakis Hexahedron given Midsphere Radius?

Insphere Radius of Tetrakis Hexahedron given Midsphere Radius calculator uses Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10) to calculate the Insphere Radius of Tetrakis Hexahedron, Insphere Radius of Tetrakis Hexahedron given Midsphere Radius formula is defined as the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere, calculated using midsphere radius of Tetrakis Hexahedron. Insphere Radius of Tetrakis Hexahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Tetrakis Hexahedron given Midsphere Radius using this online calculator? To use this online calculator for Insphere Radius of Tetrakis Hexahedron given Midsphere Radius, enter Midsphere Radius of Tetrakis Hexahedron (r_m) and hit the calculate button. Here is how the Insphere Radius of Tetrakis Hexahedron given Midsphere Radius calculation can be explained with given input values -> 6.640783 = (3*7)/sqrt(10).

FAQ

What is Insphere Radius of Tetrakis Hexahedron given Midsphere Radius?

Insphere Radius of Tetrakis Hexahedron given Midsphere Radius formula is defined as the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere, calculated using midsphere radius of Tetrakis Hexahedron and is represented as r_i = (3*r_m)/sqrt(10) or Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10). Midsphere Radius of Tetrakis Hexahedron is the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere.

How to calculate Insphere Radius of Tetrakis Hexahedron given Midsphere Radius?

Insphere Radius of Tetrakis Hexahedron given Midsphere Radius formula is defined as the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere, calculated using midsphere radius of Tetrakis Hexahedron is calculated using Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10). To calculate Insphere Radius of Tetrakis Hexahedron given Midsphere Radius, you need Midsphere Radius of Tetrakis Hexahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Insphere Radius of Tetrakis Hexahedron?

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

Insphere Radius of Tetrakis Hexahedron = 3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5)
Insphere Radius of Tetrakis Hexahedron = 3/Surface to Volume Ratio of Tetrakis Hexahedron
Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)

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