Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius Calculator

✖Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Hexakis Octahedron [r_m]

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✖Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron.ⓘ Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius [l_{e(Truncated Cuboctahedron)}]

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Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius

Formula

`"l"_{"e(Truncated Cuboctahedron)"} = (28*"r"_{"m"})/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2)))))`

Example

`"8.395811m"=(28*"19m")/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2)))))`

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Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Truncated Cuboctahedron Edge of Hexakis Octahedron = (28*Midsphere Radius of Hexakis Octahedron)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2)))))
l_{e(Truncated Cuboctahedron)} = (28*r_m)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*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

Truncated Cuboctahedron Edge of Hexakis Octahedron - (Measured in Meter) - Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron.
Midsphere Radius of Hexakis Octahedron - (Measured in Meter) - Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Hexakis Octahedron: 19 Meter --> 19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Truncated Cuboctahedron)} = (28*r_m)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2))))) --> (28*19)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2)))))

Evaluating ... ...

l_{e(Truncated Cuboctahedron)} = 8.39581054223499

STEP 3: Convert Result to Output's Unit

8.39581054223499 Meter --> No Conversion Required

FINAL ANSWER

8.39581054223499 ≈ 8.395811 Meter <-- Truncated Cuboctahedron Edge of Hexakis Octahedron

(Calculation completed in 00.020 seconds)

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< 8 Truncated Cuboctahedron Edge of Hexakis Octahedron Calculators

Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio

Go Truncated Cuboctahedron Edge of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Surface to Volume Ratio of Hexakis Octahedron)))

Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume

Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))

Truncated Cuboctahedron Edge of Hexakis Octahedron given Total Surface Area

Go Truncated Cuboctahedron Edge of Hexakis Octahedron = sqrt((7*49*Total Surface Area of Hexakis Octahedron)/(12*(60+(6*sqrt(2)))*(sqrt(543+(176*sqrt(2))))))

Truncated Cuboctahedron Edge of Hexakis Octahedron given Insphere Radius

Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (14*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)*2*(sqrt(60+(6*sqrt(2)))))

Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius

Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (28*Midsphere Radius of Hexakis Octahedron)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2)))))

Truncated Cuboctahedron Edge of Hexakis Octahedron given Medium Edge

Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/3)*(1/sqrt(12+(6*sqrt(2))))*Medium Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge

Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron

Go Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius Formula

What is Hexakis Octahedron?

In geometry, a Hexakis Octahedron (also called hexoctahedron, disdyakis dodecahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan solid with 48 congruent triangular faces, 72 edges and 26 vertices. It is the dual of the Archimedean solid ‘truncated cuboctahedron’. As such it is face-transitive but with irregular face polygons.

How to Calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius calculator uses Truncated Cuboctahedron Edge of Hexakis Octahedron = (28*Midsphere Radius of Hexakis Octahedron)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2))))) to calculate the Truncated Cuboctahedron Edge of Hexakis Octahedron, The Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron, calculated using midsphere radius of Hexakis Octahedron. Truncated Cuboctahedron Edge of Hexakis Octahedron is denoted by l_{e(Truncated Cuboctahedron)} symbol.

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius using this online calculator? To use this online calculator for Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius, enter Midsphere Radius of Hexakis Octahedron (r_m) and hit the calculate button. Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius calculation can be explained with given input values -> 8.395811 = (28*19)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2))))).

FAQ

What is Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius?

The Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron, calculated using midsphere radius of Hexakis Octahedron and is represented as l_{e(Truncated Cuboctahedron)} = (28*r_m)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2))))) or Truncated Cuboctahedron Edge of Hexakis Octahedron = (28*Midsphere Radius of Hexakis Octahedron)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2))))). Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius?

The Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron, calculated using midsphere radius of Hexakis Octahedron is calculated using Truncated Cuboctahedron Edge of Hexakis Octahedron = (28*Midsphere Radius of Hexakis Octahedron)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2))))). To calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Midsphere Radius, you need Midsphere Radius of Hexakis Octahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Hexakis Octahedron 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 Truncated Cuboctahedron Edge of Hexakis Octahedron?

In this formula, Truncated Cuboctahedron Edge of Hexakis Octahedron uses Midsphere Radius of Hexakis Octahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron
Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/3)*(1/sqrt(12+(6*sqrt(2))))*Medium Edge of Hexakis Octahedron
Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron
Truncated Cuboctahedron Edge of Hexakis Octahedron = sqrt((7*49*Total Surface Area of Hexakis Octahedron)/(12*(60+(6*sqrt(2)))*(sqrt(543+(176*sqrt(2))))))
Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
Truncated Cuboctahedron Edge of Hexakis Octahedron = (14*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)*2*(sqrt(60+(6*sqrt(2)))))
Truncated Cuboctahedron Edge of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Surface to Volume Ratio of Hexakis Octahedron)))

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