Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cubical Edge Length of Tetrakis Hexahedron = sqrt(2)*Midsphere Radius of Tetrakis Hexahedron
le(Cube) = sqrt(2)*rm
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.
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
le(Cube) = sqrt(2)*rm --> sqrt(2)*7
Evaluating ... ...
le(Cube) = 9.89949493661167
STEP 3: Convert Result to Output's Unit
9.89949493661167 Meter --> No Conversion Required
FINAL ANSWER
9.89949493661167 9.899495 Meter <-- Cubical Edge Length of Tetrakis Hexahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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7 Cubical Edge Length of Tetrakis Hexahedron Calculators

Cubical Edge Length of Tetrakis Hexahedron given Total Surface Area
Go Cubical Edge Length of Tetrakis Hexahedron = sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
Cubical Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio
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
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
Go Cubical Edge Length of Tetrakis Hexahedron = sqrt(2)*Midsphere Radius of Tetrakis Hexahedron
Cubical Edge Length of Tetrakis Hexahedron given Pyramidal Edge Length
Go Cubical Edge Length of Tetrakis Hexahedron = 4/3*Pyramidal Edge Length of Tetrakis Hexahedron
Cubical Edge Length of Tetrakis Hexahedron given Volume
Go Cubical Edge Length of Tetrakis Hexahedron = ((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
Cubical Edge Length of Tetrakis Hexahedron given Height
Go Cubical Edge Length of Tetrakis Hexahedron = 2/3*Height of Tetrakis Hexahedron

Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius Formula

Cubical Edge Length of Tetrakis Hexahedron = sqrt(2)*Midsphere Radius of Tetrakis Hexahedron
le(Cube) = sqrt(2)*rm

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 Midsphere Radius?

Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius calculator uses Cubical Edge Length of Tetrakis Hexahedron = sqrt(2)*Midsphere Radius of Tetrakis Hexahedron to calculate the Cubical Edge Length of Tetrakis Hexahedron, Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron. Cubical Edge Length of Tetrakis Hexahedron is denoted by le(Cube) symbol.

How to calculate Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius using this online calculator? To use this online calculator for Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius, enter Midsphere Radius of Tetrakis Hexahedron (rm) and hit the calculate button. Here is how the Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius calculation can be explained with given input values -> 9.899495 = sqrt(2)*7.

FAQ

What is Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius?
Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron and is represented as le(Cube) = sqrt(2)*rm or Cubical Edge Length of Tetrakis Hexahedron = sqrt(2)*Midsphere Radius of Tetrakis Hexahedron. 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 Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius?
Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron is calculated using Cubical Edge Length of Tetrakis Hexahedron = sqrt(2)*Midsphere Radius of Tetrakis Hexahedron. To calculate Cubical Edge Length of Tetrakis Hexahedron given Midsphere Radius, you need Midsphere Radius of Tetrakis Hexahedron (rm). 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 Cubical Edge Length of Tetrakis Hexahedron?
In this formula, Cubical Edge Length of Tetrakis Hexahedron uses Midsphere Radius of Tetrakis Hexahedron. We can use 6 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 = (10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5))
  • Cubical Edge Length of Tetrakis Hexahedron = ((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
  • Cubical Edge Length of Tetrakis Hexahedron = sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
  • Cubical Edge Length of Tetrakis Hexahedron = 2/3*Height of Tetrakis Hexahedron
  • Cubical Edge Length of Tetrakis Hexahedron = 4/3*Pyramidal Edge Length of Tetrakis Hexahedron
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