Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(60+(6*sqrt(2))))*(((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
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.
Volume of Hexakis Octahedron - (Measured in Cubic Meter) - Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Hexakis Octahedron: 30000 Cubic Meter --> 30000 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(60+(6*sqrt(2))))*(((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) --> (7/2)*(1/sqrt(60+(6*sqrt(2))))*(((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
Evaluating ... ...
le(Truncated Cuboctahedron) = 8.45331473715127
STEP 3: Convert Result to Output's Unit
8.45331473715127 Meter --> No Conversion Required
FINAL ANSWER
8.45331473715127 8.453315 Meter <-- Truncated Cuboctahedron Edge of Hexakis Octahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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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 given Volume Formula

​LaTeX ​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))
le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(60+(6*sqrt(2))))*(((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))

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 Volume?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume calculator uses 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)) to calculate the Truncated Cuboctahedron Edge of Hexakis Octahedron, The Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume 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 volume 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 Volume using this online calculator? To use this online calculator for Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume, enter Volume of Hexakis Octahedron (V) and hit the calculate button. Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume calculation can be explained with given input values -> 8.453315 = (7/2)*(1/sqrt(60+(6*sqrt(2))))*(((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)).

FAQ

What is Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume?
The Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume 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 volume of Hexakis Octahedron and is represented as le(Truncated Cuboctahedron) = (7/2)*(1/sqrt(60+(6*sqrt(2))))*(((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) or 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)). Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.
How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume?
The Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume 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 volume of Hexakis Octahedron is calculated using 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)). To calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Volume, you need Volume of Hexakis Octahedron (V). With our tool, you need to enter the respective value for Volume 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 Volume 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 = (7/2)*(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 = (7/2)*(1/sqrt(30-(3*sqrt(2))))*Short Edge of Hexakis Octahedron
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