Height 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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✖Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex.ⓘ Height of Tetrakis Hexahedron given Midsphere Radius [h]

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Height of Tetrakis Hexahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(2)
h = (3*r_m)/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

Height of Tetrakis Hexahedron - (Measured in Meter) - Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex.
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

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

Evaluating ... ...

h = 14.8492424049175

STEP 3: Convert Result to Output's Unit

14.8492424049175 Meter --> No Conversion Required

FINAL ANSWER

14.8492424049175 ≈ 14.84924 Meter <-- Height of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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< Height of Tetrakis Hexahedron Calculators

Height of Tetrakis Hexahedron given Surface to Volume Ratio

LaTeX Go Height of Tetrakis Hexahedron = 3*sqrt(5)/Surface to Volume Ratio of Tetrakis Hexahedron

Height of Tetrakis Hexahedron given Midsphere Radius

LaTeX Go Height of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(2)

Height of Tetrakis Hexahedron given Insphere Radius

LaTeX Go Height of Tetrakis Hexahedron = sqrt(5)*Insphere Radius of Tetrakis Hexahedron

Height of Tetrakis Hexahedron

LaTeX Go Height of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron

Height of Tetrakis Hexahedron given Midsphere Radius Formula

LaTeX Go

Height of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(2)
h = (3*r_m)/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 Height of Tetrakis Hexahedron given Midsphere Radius?

Height of Tetrakis Hexahedron given Midsphere Radius calculator uses Height of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(2) to calculate the Height of Tetrakis Hexahedron, Height of Tetrakis Hexahedron given Midsphere Radius formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using midsphere radius of Tetrakis Hexahedron. Height of Tetrakis Hexahedron is denoted by h symbol.

How to calculate Height of Tetrakis Hexahedron given Midsphere Radius using this online calculator? To use this online calculator for Height of Tetrakis Hexahedron given Midsphere Radius, enter Midsphere Radius of Tetrakis Hexahedron (r_m) and hit the calculate button. Here is how the Height of Tetrakis Hexahedron given Midsphere Radius calculation can be explained with given input values -> 14.84924 = (3*7)/sqrt(2).

FAQ

What is Height of Tetrakis Hexahedron given Midsphere Radius?

Height of Tetrakis Hexahedron given Midsphere Radius formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using midsphere radius of Tetrakis Hexahedron and is represented as h = (3*r_m)/sqrt(2) or Height of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/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 Height of Tetrakis Hexahedron given Midsphere Radius?

Height of Tetrakis Hexahedron given Midsphere Radius formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using midsphere radius of Tetrakis Hexahedron is calculated using Height of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(2). To calculate Height 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 Height of Tetrakis Hexahedron?

In this formula, Height 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 -

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

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