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

✖Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.ⓘ Surface to Volume Ratio of Hexakis Octahedron [R_A/V]

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✖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.ⓘ Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio [l_{e(Truncated Cuboctahedron)}]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
l_{e(Truncated Cuboctahedron)} = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(R_A/V)))
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.
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.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Hexakis Octahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Truncated Cuboctahedron)} = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(R_A/V))) --> ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(0.2)))

Evaluating ... ...

l_{e(Truncated Cuboctahedron)} = 6.78812520234346

STEP 3: Convert Result to Output's Unit

6.78812520234346 Meter --> No Conversion Required

FINAL ANSWER

6.78812520234346 ≈ 6.788125 Meter <-- Truncated Cuboctahedron Edge of Hexakis Octahedron

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » CatalanSolids » Hexakis Octahedron » Edges of Hexakis Octahedron » Truncated Cuboctahedron Edge of Hexakis Octahedron » Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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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 Surface to Volume Ratio Formula

LaTeX Go

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 Surface to Volume Ratio?

Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio calculator uses 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))) to calculate the Truncated Cuboctahedron Edge of Hexakis Octahedron, The Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio 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 surface to volume ratio of Hexakis Octahedron. Truncated Cuboctahedron Edge of Hexakis Octahedron is denoted by l_{e(Truncated Cuboctahedron)} symbol.

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Hexakis Octahedron (R_A/V) and hit the calculate button. Here is how the Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 6.788125 = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(0.2))).

FAQ

What is Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio?

The Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio 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 surface to volume ratio of Hexakis Octahedron and is represented as l_{e(Truncated Cuboctahedron)} = ((12*(sqrt(543+(176*sqrt(2)))))/(sqrt(6*(986+(607*sqrt(2))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(R_A/V))) or 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))). Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.

How to calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio?

The Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio 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 surface to volume ratio of Hexakis Octahedron is calculated using 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))). To calculate Truncated Cuboctahedron Edge of Hexakis Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Hexakis Octahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio 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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