Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron
le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(30-(3*sqrt(2))))*le(Short)
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.
Short Edge of Hexakis Octahedron - (Measured in Meter) - Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron.
STEP 1: Convert Input(s) to Base Unit
Short Edge of Hexakis Octahedron: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(30-(3*sqrt(2))))*le(Short) --> (7/2)*(1/sqrt(30-(3*sqrt(2))))*12
Evaluating ... ...
le(Truncated Cuboctahedron) = 8.27558344615282
STEP 3: Convert Result to Output's Unit
8.27558344615282 Meter --> No Conversion Required
FINAL ANSWER
8.27558344615282 8.275583 Meter <-- Truncated Cuboctahedron Edge of Hexakis Octahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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 Short Edge Formula

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

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 Short Edge?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge calculator uses Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron to calculate the Truncated Cuboctahedron Edge of Hexakis Octahedron, The Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge 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 the short edge of Hexakis Octahedron. Truncated Cuboctahedron Edge of Hexakis Octahedron is denoted by le(Truncated Cuboctahedron) symbol.

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge using this online calculator? To use this online calculator for Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge, enter Short Edge of Hexakis Octahedron (le(Short)) and hit the calculate button. Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge calculation can be explained with given input values -> 8.275583 = (7/2)*(1/sqrt(30-(3*sqrt(2))))*12.

FAQ

What is Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge?
The Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge 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 the short edge of Hexakis Octahedron and is represented as le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(30-(3*sqrt(2))))*le(Short) or Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron. Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron.
How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge?
The Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge 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 the short edge of Hexakis Octahedron is calculated using Truncated Cuboctahedron Edge of Hexakis Octahedron = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron. To calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Short Edge, you need Short Edge of Hexakis Octahedron (le(Short)). With our tool, you need to enter the respective value for Short 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 Short 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 = (7/2)*(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 = 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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