Volume of Tetrakis Hexahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3
V = 3/2*((10*ri)/(3*sqrt(5)))^3
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
Volume of Tetrakis Hexahedron - (Measured in Cubic Meter) - Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the 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
V = 3/2*((10*ri)/(3*sqrt(5)))^3 --> 3/2*((10*6)/(3*sqrt(5)))^3
Evaluating ... ...
V = 1073.3126291999
STEP 3: Convert Result to Output's Unit
1073.3126291999 Cubic Meter --> No Conversion Required
FINAL ANSWER
1073.3126291999 1073.313 Cubic Meter <-- Volume of Tetrakis Hexahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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7 Volume of Tetrakis Hexahedron Calculators

Volume of Tetrakis Hexahedron given Surface to Volume Ratio
Go Volume of Tetrakis Hexahedron = 3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3
Volume of Tetrakis Hexahedron given Total Surface Area
Go Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)
Volume of Tetrakis Hexahedron given Insphere Radius
Go Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3
Volume of Tetrakis Hexahedron given Midsphere Radius
Go Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3
Volume of Tetrakis Hexahedron given Pyramidal Edge Length
Go Volume of Tetrakis Hexahedron = 3/2*((4*Pyramidal Edge Length of Tetrakis Hexahedron)/3)^3
Volume of Tetrakis Hexahedron
Go Volume of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron^3
Volume of Tetrakis Hexahedron given Height
Go Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3

Volume of Tetrakis Hexahedron given Insphere Radius Formula

Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3
V = 3/2*((10*ri)/(3*sqrt(5)))^3

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 Volume of Tetrakis Hexahedron given Insphere Radius?

Volume of Tetrakis Hexahedron given Insphere Radius calculator uses Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3 to calculate the Volume of Tetrakis Hexahedron, Volume of Tetrakis Hexahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron. Volume of Tetrakis Hexahedron is denoted by V symbol.

How to calculate Volume of Tetrakis Hexahedron given Insphere Radius using this online calculator? To use this online calculator for Volume of Tetrakis Hexahedron given Insphere Radius, enter Insphere Radius of Tetrakis Hexahedron (ri) and hit the calculate button. Here is how the Volume of Tetrakis Hexahedron given Insphere Radius calculation can be explained with given input values -> 1073.313 = 3/2*((10*6)/(3*sqrt(5)))^3.

FAQ

What is Volume of Tetrakis Hexahedron given Insphere Radius?
Volume of Tetrakis Hexahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron and is represented as V = 3/2*((10*ri)/(3*sqrt(5)))^3 or Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3. 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 Volume of Tetrakis Hexahedron given Insphere Radius?
Volume of Tetrakis Hexahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron is calculated using Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3. To calculate Volume of Tetrakis Hexahedron given Insphere Radius, you need Insphere Radius of Tetrakis Hexahedron (ri). 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 Volume of Tetrakis Hexahedron?
In this formula, Volume of Tetrakis Hexahedron uses Insphere Radius of Tetrakis Hexahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Volume of Tetrakis Hexahedron = 3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3
  • Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3
  • Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)
  • Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3
  • Volume of Tetrakis Hexahedron = 3/2*((4*Pyramidal Edge Length of Tetrakis Hexahedron)/3)^3
  • Volume of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron^3
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