Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Calculator

✖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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✖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 given Truncated Cuboctahedron Edge [l_e(Long)]

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Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Truncated Cuboctahedron Edge of Hexakis Octahedron: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = (2/7)*(sqrt(60+(6*sqrt(2))))*l_{e(Truncated Cuboctahedron)} --> (2/7)*(sqrt(60+(6*sqrt(2))))*8

Evaluating ... ...

l_e(Long) = 18.9156193054922

STEP 3: Convert Result to Output's Unit

18.9156193054922 Meter --> No Conversion Required

FINAL ANSWER

18.9156193054922 ≈ 18.91562 Meter <-- Long Edge of Hexakis Octahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Long Edge of Hexakis Octahedron Calculators

Long Edge of Hexakis Octahedron given Total Surface Area

LaTeX Go Long Edge of Hexakis Octahedron = sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))

Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

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

Long Edge of Hexakis Octahedron given Medium Edge

LaTeX Go Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))

Long Edge of Hexakis Octahedron given Short Edge

LaTeX Go Long Edge of Hexakis Octahedron = (14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))

Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

LaTeX Go

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

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 Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge?

Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge calculator uses Long Edge of Hexakis Octahedron = (2/7)*(sqrt(60+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron to calculate the Long Edge of Hexakis Octahedron, The Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using truncated cuboctahedron edge of Hexakis Octahedron. Long Edge of Hexakis Octahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge using this online calculator? To use this online calculator for Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge, enter Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}) and hit the calculate button. Here is how the Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge calculation can be explained with given input values -> 18.91562 = (2/7)*(sqrt(60+(6*sqrt(2))))*8.

FAQ

What is Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge?

The Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using truncated cuboctahedron edge of Hexakis Octahedron and is represented as l_e(Long) = (2/7)*(sqrt(60+(6*sqrt(2))))*l_{e(Truncated Cuboctahedron)} or Long Edge of Hexakis Octahedron = (2/7)*(sqrt(60+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron. 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.

How to calculate Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge?

The Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using truncated cuboctahedron edge of Hexakis Octahedron is calculated using Long Edge of Hexakis Octahedron = (2/7)*(sqrt(60+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron. To calculate Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge, you need Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}). With our tool, you need to enter the respective value for Truncated Cuboctahedron 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 Long Edge of Hexakis Octahedron?

In this formula, Long Edge of Hexakis Octahedron uses Truncated Cuboctahedron Edge of Hexakis Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))
Long Edge of Hexakis Octahedron = (14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))
Long Edge of Hexakis Octahedron = sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))

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