Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius Calculator

✖Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Hexakis Octahedron [r_i]

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✖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 given Insphere Radius [R_A/V]

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Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius 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))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*Insphere Radius of Hexakis Octahedron))
R_A/V = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*r_i))
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.
Insphere Radius of Hexakis Octahedron - (Measured in Meter) - Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Hexakis Octahedron: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*r_i)) --> ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*18))

Evaluating ... ...

R_A/V = 0.166666666666667

STEP 3: Convert Result to Output's Unit

0.166666666666667 1 per Meter --> No Conversion Required

FINAL ANSWER

0.166666666666667 ≈ 0.166667 1 per Meter <-- Surface to Volume Ratio of Hexakis Octahedron

(Calculation completed in 00.013 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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< 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 Insphere Radius 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 Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius?

Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius calculator uses 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)) to calculate the Surface to Volume Ratio of Hexakis Octahedron, The Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius formula is defined as what part of or fraction of total volume of Hexakis Octahedron is the total surface area, calculated using insphere radius of Hexakis Octahedron. Surface to Volume Ratio of Hexakis Octahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius, enter Insphere Radius of Hexakis Octahedron (r_i) and hit the calculate button. Here is how the Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius calculation can be explained with given input values -> 0.166667 = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*18)).

FAQ

What is Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius?

The Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius formula is defined as what part of or fraction of total volume of Hexakis Octahedron is the total surface area, calculated using insphere radius of Hexakis Octahedron and is represented as R_A/V = ((12*sqrt(543+(176*sqrt(2))))/(sqrt(6*(986+(607*sqrt(2))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*r_i)) or 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)). Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

How to calculate Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius?

The Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius formula is defined as what part of or fraction of total volume of Hexakis Octahedron is the total surface area, calculated using insphere radius 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))))))*((sqrt((402+(195*sqrt(2)))/194))/(2*Insphere Radius of Hexakis Octahedron)). To calculate Surface to Volume Ratio of Hexakis Octahedron given Insphere Radius, you need Insphere Radius of Hexakis Octahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 Insphere Radius 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))))))*(7/(2*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge 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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