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
le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(60+(6*sqrt(2))))*le(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
le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(60+(6*sqrt(2))))*le(Long) --> (7/2)*(1/sqrt(60+(6*sqrt(2))))*20
Evaluating ... ...
le(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 00.016 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Truncated Cuboctahedron Edge of Hexakis Octahedron Calculators

Truncated Cuboctahedron Edge of Hexakis Octahedron given Total Surface Area
​ LaTeX ​ 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 Medium Edge
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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

​LaTeX ​Go
Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(60+(6*sqrt(2))))*Long Edge of Hexakis Octahedron
le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(60+(6*sqrt(2))))*le(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 le(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 (le(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 le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(60+(6*sqrt(2))))*le(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 (le(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 3 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))))))
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