Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Edge of Hexakis Octahedron = (2/7)*(sqrt(30-(3*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron
le(Short) = (2/7)*(sqrt(30-(3*sqrt(2))))*le(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
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.
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
le(Short) = (2/7)*(sqrt(30-(3*sqrt(2))))*le(Truncated Cuboctahedron) --> (2/7)*(sqrt(30-(3*sqrt(2))))*8
Evaluating ... ...
le(Short) = 11.6003905494577
STEP 3: Convert Result to Output's Unit
11.6003905494577 Meter --> No Conversion Required
FINAL ANSWER
11.6003905494577 11.60039 Meter <-- Short Edge of Hexakis Octahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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8 Short Edge of Hexakis Octahedron Calculators

Short Edge of Hexakis Octahedron given Surface to Volume Ratio
Go Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))
Short Edge of Hexakis Octahedron given Insphere Radius
Go Short Edge of Hexakis Octahedron = ((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))*sqrt((30-(3*sqrt(2)))/(60+(6*sqrt(2))))
Short Edge of Hexakis Octahedron given Total Surface Area
Go Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))
Short Edge of Hexakis Octahedron given Volume
Go Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge
Go Short Edge of Hexakis Octahedron = (2/7)*(sqrt(30-(3*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron
Short Edge of Hexakis Octahedron given Midsphere Radius
Go Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))
Short Edge of Hexakis Octahedron given Medium Edge
Go Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(14/(3*(1+(2*sqrt(2)))))*Medium Edge of Hexakis Octahedron
Short Edge of Hexakis Octahedron
Go Short Edge of Hexakis Octahedron = (1/14)*(10-sqrt(2))*Long Edge of Hexakis Octahedron

Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

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

Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge calculator uses Short Edge of Hexakis Octahedron = (2/7)*(sqrt(30-(3*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron to calculate the Short Edge of Hexakis Octahedron, The Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using truncated cubotahedron edge of Hexakis Octahedron. Short Edge of Hexakis Octahedron is denoted by le(Short) symbol.

How to calculate Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge using this online calculator? To use this online calculator for Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge, enter Truncated Cuboctahedron Edge of Hexakis Octahedron (le(Truncated Cuboctahedron)) and hit the calculate button. Here is how the Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge calculation can be explained with given input values -> 11.60039 = (2/7)*(sqrt(30-(3*sqrt(2))))*8.

FAQ

What is Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge?
The Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using truncated cubotahedron edge of Hexakis Octahedron and is represented as le(Short) = (2/7)*(sqrt(30-(3*sqrt(2))))*le(Truncated Cuboctahedron) or Short Edge of Hexakis Octahedron = (2/7)*(sqrt(30-(3*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 Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge?
The Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using truncated cubotahedron edge of Hexakis Octahedron is calculated using Short Edge of Hexakis Octahedron = (2/7)*(sqrt(30-(3*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron. To calculate Short Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge, you need Truncated Cuboctahedron Edge of Hexakis Octahedron (le(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 Short Edge of Hexakis Octahedron?
In this formula, Short Edge of Hexakis Octahedron uses Truncated Cuboctahedron Edge of Hexakis Octahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Short Edge of Hexakis Octahedron = (1/14)*(10-sqrt(2))*Long Edge of Hexakis Octahedron
  • Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(14/(3*(1+(2*sqrt(2)))))*Medium Edge of Hexakis Octahedron
  • Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))
  • Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
  • Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))
  • Short Edge of Hexakis Octahedron = ((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))*sqrt((30-(3*sqrt(2)))/(60+(6*sqrt(2))))
  • Short Edge of Hexakis Octahedron = ((10-sqrt(2))/14)*((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))
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