Pyramidal Edge Length 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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✖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 Midsphere Radius [l_e(Pyramid)]

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Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2))
l_e(Pyramid) = (3*r_m)/(2*sqrt(2))
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.
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

l_e(Pyramid) = (3*r_m)/(2*sqrt(2)) --> (3*7)/(2*sqrt(2))

Evaluating ... ...

l_e(Pyramid) = 7.42462120245875

STEP 3: Convert Result to Output's Unit

7.42462120245875 Meter --> No Conversion Required

FINAL ANSWER

7.42462120245875 ≈ 7.424621 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 Midsphere Radius Formula

LaTeX Go

Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2))
l_e(Pyramid) = (3*r_m)/(2*sqrt(2))

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 Midsphere Radius?

Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius calculator uses Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2)) to calculate the Pyramidal Edge Length of Tetrakis Hexahedron, Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using midsphere 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 Midsphere Radius using this online calculator? To use this online calculator for Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius, enter Midsphere Radius of Tetrakis Hexahedron (r_m) and hit the calculate button. Here is how the Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius calculation can be explained with given input values -> 7.424621 = (3*7)/(2*sqrt(2)).

FAQ

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

Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron and is represented as l_e(Pyramid) = (3*r_m)/(2*sqrt(2)) or Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2)). 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 Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius?

Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron is calculated using Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2)). To calculate Pyramidal Edge Length 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 Pyramidal Edge Length of Tetrakis Hexahedron?

In this formula, Pyramidal Edge Length 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 -

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 = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5))

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