Insphere Radius of Tetrakis Hexahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Insphere Radius of Tetrakis Hexahedron = 3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5)
ri = 3/10*le(Cube)*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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Cubical Edge Length of Tetrakis Hexahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = 3/10*le(Cube)*sqrt(5) --> 3/10*10*sqrt(5)
Evaluating ... ...
ri = 6.70820393249937
STEP 3: Convert Result to Output's Unit
6.70820393249937 Meter --> No Conversion Required
FINAL ANSWER
6.70820393249937 6.708204 Meter <-- Insphere Radius of Tetrakis Hexahedron
(Calculation completed in 00.004 seconds)

Credits

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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7 Insphere Radius of Tetrakis Hexahedron Calculators

Insphere Radius of Tetrakis Hexahedron given Total Surface Area
Go Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
Insphere Radius of Tetrakis Hexahedron given Volume
Go Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
Insphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length
Go Insphere Radius of Tetrakis Hexahedron = (2*Pyramidal Edge Length of Tetrakis Hexahedron)/sqrt(5)
Insphere Radius of Tetrakis Hexahedron
Go Insphere Radius of Tetrakis Hexahedron = 3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5)
Insphere Radius of Tetrakis Hexahedron given Midsphere Radius
Go Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10)
Insphere Radius of Tetrakis Hexahedron given Height
Go Insphere Radius of Tetrakis Hexahedron = Height of Tetrakis Hexahedron/sqrt(5)
Insphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio
Go Insphere Radius of Tetrakis Hexahedron = 3/Surface to Volume Ratio of Tetrakis Hexahedron

Insphere Radius of Tetrakis Hexahedron Formula

Insphere Radius of Tetrakis Hexahedron = 3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5)
ri = 3/10*le(Cube)*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 Insphere Radius of Tetrakis Hexahedron?

Insphere Radius of Tetrakis Hexahedron calculator uses Insphere Radius of Tetrakis Hexahedron = 3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5) to calculate the Insphere Radius of Tetrakis Hexahedron, Insphere Radius of Tetrakis Hexahedron 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. Insphere Radius of Tetrakis Hexahedron is denoted by ri symbol.

How to calculate Insphere Radius of Tetrakis Hexahedron using this online calculator? To use this online calculator for Insphere Radius of Tetrakis Hexahedron, enter Cubical Edge Length of Tetrakis Hexahedron (le(Cube)) and hit the calculate button. Here is how the Insphere Radius of Tetrakis Hexahedron calculation can be explained with given input values -> 6.708204 = 3/10*10*sqrt(5).

FAQ

What is Insphere Radius of Tetrakis Hexahedron?
Insphere Radius of Tetrakis Hexahedron 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 and is represented as ri = 3/10*le(Cube)*sqrt(5) or Insphere Radius of Tetrakis Hexahedron = 3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5). Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron.
How to calculate Insphere Radius of Tetrakis Hexahedron?
Insphere Radius of Tetrakis Hexahedron 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 is calculated using Insphere Radius of Tetrakis Hexahedron = 3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5). To calculate Insphere Radius of Tetrakis Hexahedron, you need Cubical Edge Length of Tetrakis Hexahedron (le(Cube)). With our tool, you need to enter the respective value for Cubical Edge Length 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 Cubical Edge Length of Tetrakis Hexahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Insphere Radius of Tetrakis Hexahedron = 3/Surface to Volume Ratio of Tetrakis Hexahedron
  • Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10)
  • Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
  • Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
  • Insphere Radius of Tetrakis Hexahedron = Height of Tetrakis Hexahedron/sqrt(5)
  • Insphere Radius of Tetrakis Hexahedron = (2*Pyramidal Edge Length of Tetrakis Hexahedron)/sqrt(5)
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