Long 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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✖Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.ⓘ Long Edge of Hexakis Octahedron given Surface to Volume Ratio [l_e(Long)]

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Formula

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Long Edge of Hexakis Octahedron given Surface to Volume Ratio

Formula

`"l"_{"e(Long)"} = (12*sqrt(543+(176*sqrt(2))))/("R"_{"A/V"}*(sqrt(6*(986+(607*sqrt(2))))))`

Example

`"16.0502m"=(12*sqrt(543+(176*sqrt(2))))/("0.2m⁻¹"*(sqrt(6*(986+(607*sqrt(2))))))`

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Long Edge of Hexakis Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Hexakis Octahedron = (12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2))))))
l_e(Long) = (12*sqrt(543+(176*sqrt(2))))/(R_A/V*(sqrt(6*(986+(607*sqrt(2))))))
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

Long Edge of Hexakis Octahedron - (Measured in Meter) - Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.
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(Long) = (12*sqrt(543+(176*sqrt(2))))/(R_A/V*(sqrt(6*(986+(607*sqrt(2)))))) --> (12*sqrt(543+(176*sqrt(2))))/(0.2*(sqrt(6*(986+(607*sqrt(2))))))

Evaluating ... ...

l_e(Long) = 16.0501990156932

STEP 3: Convert Result to Output's Unit

16.0501990156932 Meter --> No Conversion Required

FINAL ANSWER

16.0501990156932 ≈ 16.0502 Meter <-- Long Edge of Hexakis Octahedron

(Calculation completed in 00.004 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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< 8 Long Edge of Hexakis Octahedron Calculators

Long Edge of Hexakis Octahedron given Surface to Volume Ratio

Go Long Edge of Hexakis Octahedron = (12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2))))))

Long Edge of Hexakis Octahedron given Total Surface Area

Go Long Edge of Hexakis Octahedron = sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))

Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

Go Long Edge of Hexakis Octahedron = (2/7)*(sqrt(60+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron

Long Edge of Hexakis Octahedron given Insphere Radius

Go Long Edge of Hexakis Octahedron = (2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194))

Long Edge of Hexakis Octahedron given Volume

Go Long Edge of Hexakis Octahedron = (((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))

Long Edge of Hexakis Octahedron given Midsphere Radius

Go Long Edge of Hexakis Octahedron = (4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2)))

Long Edge of Hexakis Octahedron given Medium Edge

Go Long Edge of Hexakis Octahedron = (14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))

Long Edge of Hexakis Octahedron given Short Edge

Go Long Edge of Hexakis Octahedron = (14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))

Long Edge of Hexakis Octahedron given Surface to Volume Ratio Formula

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 Long Edge of Hexakis Octahedron given Surface to Volume Ratio?

Long Edge of Hexakis Octahedron given Surface to Volume Ratio calculator uses Long Edge of Hexakis Octahedron = (12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))) to calculate the Long Edge of Hexakis Octahedron, Long Edge of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using surface to volume ratio of Hexakis Octahedron. Long Edge of Hexakis Octahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Hexakis Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Long 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 Long Edge of Hexakis Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 16.0502 = (12*sqrt(543+(176*sqrt(2))))/(0.2*(sqrt(6*(986+(607*sqrt(2)))))).

FAQ

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

Long Edge of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using surface to volume ratio of Hexakis Octahedron and is represented as l_e(Long) = (12*sqrt(543+(176*sqrt(2))))/(R_A/V*(sqrt(6*(986+(607*sqrt(2)))))) or Long Edge of Hexakis Octahedron = (12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))). 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 Long Edge of Hexakis Octahedron given Surface to Volume Ratio?

Long Edge of Hexakis Octahedron given Surface to Volume Ratio formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using surface to volume ratio of Hexakis Octahedron is calculated using Long Edge of Hexakis Octahedron = (12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))). To calculate Long 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 Long Edge of Hexakis Octahedron?

In this formula, Long Edge of Hexakis Octahedron uses Surface to Volume Ratio of Hexakis Octahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

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

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