Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron)))
RA/V = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*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
Surface to Volume Ratio of Hexakis Octahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.
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
RA/V = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(le(Truncated Cuboctahedron)))) --> ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(8)))
Evaluating ... ...
RA/V = 0.169703130058587
STEP 3: Convert Result to Output's Unit
0.169703130058587 1 per Meter --> No Conversion Required
FINAL ANSWER
0.169703130058587 0.169703 1 per Meter <-- Surface to Volume Ratio of Hexakis Octahedron
(Calculation completed in 00.020 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Indian Institute of Information Technology (IIIT), Bhopal
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Surface to Volume Ratio of Hexakis Octahedron Calculators

Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge
​ LaTeX ​ Go Surface to Volume Ratio of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron)))
Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius
​ LaTeX ​ Go Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*Insphere Radius of Hexakis Octahedron))
Surface to Volume Ratio of Hexakis Octahedron given Midsphere Radius
​ LaTeX ​ Go Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((1+(2*sqrt(2)))/(4*Midsphere Radius of Hexakis Octahedron))
Surface to Volume Ratio of Hexakis Octahedron given Medium Edge
​ LaTeX ​ Go Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((3*(1+(2*sqrt(2))))/(14*Medium Edge of Hexakis Octahedron))

Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

​LaTeX ​Go
Surface to Volume Ratio of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron)))
RA/V = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*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 Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge?

Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge calculator uses Surface to Volume Ratio of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron))) to calculate the Surface to Volume Ratio of Hexakis Octahedron, The Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as what part of or fraction of total volume of Hexakis Octahedron is the total surface area, calculated using truncated cuboctahedron edge of Hexakis Octahedron. Surface to Volume Ratio of Hexakis Octahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge using this online calculator? To use this online calculator for Surface to Volume Ratio 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 Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge calculation can be explained with given input values -> 0.169703 = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(8))).

FAQ

What is Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge?
The Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as what part of or fraction of total volume of Hexakis Octahedron is the total surface area, calculated using truncated cuboctahedron edge of Hexakis Octahedron and is represented as RA/V = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(le(Truncated Cuboctahedron)))) or Surface to Volume Ratio of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(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 Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge?
The Surface to Volume Ratio of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as what part of or fraction of total volume of Hexakis Octahedron is the total surface area, calculated using truncated cuboctahedron edge of Hexakis Octahedron is calculated using Surface to Volume Ratio of Hexakis Octahedron = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron))). To calculate Surface to Volume Ratio 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 Surface to Volume Ratio of Hexakis Octahedron?
In this formula, Surface to Volume Ratio 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 -
  • Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*Insphere Radius of Hexakis Octahedron))
  • Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((3*(1+(2*sqrt(2))))/(14*Medium Edge of Hexakis Octahedron))
  • Surface to Volume Ratio of Hexakis Octahedron = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((1+(2*sqrt(2)))/(4*Midsphere Radius of Hexakis Octahedron))
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