Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere 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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✖Pyramidal Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron.ⓘ Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius [l_e(Pyramid)]

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Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5))
l_e(Pyramid) = (5*r_i)/(2*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

Pyramidal Edge Length of Tetrakis Hexahedron - (Measured in Meter) - Pyramidal Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of pyramid 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(Pyramid) = (5*r_i)/(2*sqrt(5)) --> (5*6)/(2*sqrt(5))

Evaluating ... ...

l_e(Pyramid) = 6.70820393249937

STEP 3: Convert Result to Output's Unit

6.70820393249937 Meter --> No Conversion Required

FINAL ANSWER

6.70820393249937 ≈ 6.708204 Meter <-- Pyramidal Edge Length of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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< Pyramidal Edge Length of Tetrakis Hexahedron Calculators

Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio

LaTeX Go Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio of Tetrakis Hexahedron)

Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius

LaTeX Go Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2))

Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius

LaTeX Go Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5))

Pyramidal Edge Length of Tetrakis Hexahedron

LaTeX Go Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*Cubical Edge Length of Tetrakis Hexahedron

Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius Formula

LaTeX Go

Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5))
l_e(Pyramid) = (5*r_i)/(2*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 Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius?

Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius calculator uses Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5)) to calculate the Pyramidal Edge Length of Tetrakis Hexahedron, Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron. Pyramidal Edge Length of Tetrakis Hexahedron is denoted by l_e(Pyramid) symbol.

How to calculate Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius using this online calculator? To use this online calculator for Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius, enter Insphere Radius of Tetrakis Hexahedron (r_i) and hit the calculate button. Here is how the Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius calculation can be explained with given input values -> 6.708204 = (5*6)/(2*sqrt(5)).

FAQ

What is Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius?

Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron and is represented as l_e(Pyramid) = (5*r_i)/(2*sqrt(5)) or Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*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 Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius?

Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron is calculated using Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5)). To calculate Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere 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 Pyramidal Edge Length of Tetrakis Hexahedron?

In this formula, Pyramidal 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 -

Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*Cubical Edge Length of Tetrakis Hexahedron
Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio of Tetrakis Hexahedron)
Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2))

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