Truncated Cuboctahedron Edge of Hexakis Octahedron Calculator

✖Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.ⓘ Long Edge of Hexakis Octahedron [l_e(Long)]

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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 [l_{e(Truncated Cuboctahedron)}]

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Formula

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Truncated Cuboctahedron Edge of Hexakis Octahedron

Formula

`"l"_{"e(Truncated Cuboctahedron)"} = (7/2)*(1/sqrt(60+(6*sqrt(2))))*"l"_{"e(Long)"}`

Example

`"8.458618m"=(7/2)*(1/sqrt(60+(6*sqrt(2))))*"20m"`

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Truncated Cuboctahedron Edge of Hexakis Octahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron
l_{e(Truncated Cuboctahedron)} = (7/2)*(1/sqrt(60+(6*sqrt(2))))*l_e(Long)
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.
Long Edge of Hexakis Octahedron - (Measured in Meter) - Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Hexakis Octahedron: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Truncated Cuboctahedron)} = (7/2)*(1/sqrt(60+(6*sqrt(2))))*l_e(Long) --> (7/2)*(1/sqrt(60+(6*sqrt(2))))*20

Evaluating ... ...

l_{e(Truncated Cuboctahedron)} = 8.45861810897959

STEP 3: Convert Result to Output's Unit

8.45861810897959 Meter --> No Conversion Required

FINAL ANSWER

8.45861810897959 ≈ 8.458618 Meter <-- Truncated Cuboctahedron Edge of Hexakis Octahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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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 Formula

Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron
l_{e(Truncated Cuboctahedron)} = (7/2)*(1/sqrt(60+(6*sqrt(2))))*l_e(Long)

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?

Truncated Cuboctahedron Edge of Hexakis Octahedron calculator uses Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron to calculate the Truncated Cuboctahedron Edge of Hexakis Octahedron, The Truncated Cuboctahedron Edge of Hexakis Octahedron formula is defined as 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 is denoted by l_{e(Truncated Cuboctahedron)} symbol.

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron using this online calculator? To use this online calculator for Truncated Cuboctahedron Edge of Hexakis Octahedron, enter Long Edge of Hexakis Octahedron (l_e(Long)) and hit the calculate button. Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron calculation can be explained with given input values -> 8.458618 = (7/2)*(1/sqrt(60+(6*sqrt(2))))*20.

FAQ

What is Truncated Cuboctahedron Edge of Hexakis Octahedron?

The Truncated Cuboctahedron Edge of Hexakis Octahedron formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron and is represented as l_{e(Truncated Cuboctahedron)} = (7/2)*(1/sqrt(60+(6*sqrt(2))))*l_e(Long) or Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron. Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron?

The Truncated Cuboctahedron Edge of Hexakis Octahedron formula is defined as the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron is calculated using Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron. To calculate Truncated Cuboctahedron Edge of Hexakis Octahedron, you need Long Edge of Hexakis Octahedron (l_e(Long)). With our tool, you need to enter the respective value for Long Edge 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 Long Edge 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 = (7/3)*(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 = (28*Midsphere Radius of Hexakis Octahedron)/((1+(2*sqrt(2)))*2*(sqrt(60+(6*sqrt(2)))))
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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