Medium Edge of Hexakis Octahedron given Midsphere Radius Calculator

✖Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Hexakis Octahedron [r_m]

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✖Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.ⓘ Medium Edge of Hexakis Octahedron given Midsphere Radius [l_e(Medium)]

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Formula

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Medium Edge of Hexakis Octahedron given Midsphere Radius

Formula

`"l"_{"e(Medium)"} = (6/7)*"r"_{"m"}`

Example

`"16.28571m"=(6/7)*"19m"`

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Medium Edge of Hexakis Octahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Medium Edge of Hexakis Octahedron = (6/7)*Midsphere Radius of Hexakis Octahedron
l_e(Medium) = (6/7)*r_m
This formula uses 2 Variables

Variables Used

Medium Edge of Hexakis Octahedron - (Measured in Meter) - Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.
Midsphere Radius of Hexakis Octahedron - (Measured in Meter) - Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Hexakis Octahedron: 19 Meter --> 19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Medium) = (6/7)*r_m --> (6/7)*19

Evaluating ... ...

l_e(Medium) = 16.2857142857143

STEP 3: Convert Result to Output's Unit

16.2857142857143 Meter --> No Conversion Required

FINAL ANSWER

16.2857142857143 ≈ 16.28571 Meter <-- Medium 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 Medium Edge of Hexakis Octahedron Calculators

Medium Edge of Hexakis Octahedron given Surface to Volume Ratio

Go Medium Edge of Hexakis Octahedron = (3/14)*(1+(2*sqrt(2)))*((12*(sqrt(543+(176*sqrt(2)))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))

Medium Edge of Hexakis Octahedron given Total Surface Area

Go Medium Edge of Hexakis Octahedron = (3/14)*(1+(2*sqrt(2)))*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))

Medium Edge of Hexakis Octahedron given Volume

Go Medium Edge of Hexakis Octahedron = (3/14)*(1+(2*sqrt(2)))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))

Medium Edge of Hexakis Octahedron given Insphere Radius

Go Medium Edge of Hexakis Octahedron = (3/7)*Insphere Radius of Hexakis Octahedron*((1+(2*sqrt(2)))/(sqrt((402+(195*sqrt(2)))/194)))

Medium Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

Go Medium Edge of Hexakis Octahedron = (3/7)*(sqrt(12+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron

Medium Edge of Hexakis Octahedron given Short Edge

Go Medium Edge of Hexakis Octahedron = (3*Short Edge of Hexakis Octahedron*(1+(2*sqrt(2))))/(10-sqrt(2))

Medium Edge of Hexakis Octahedron

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

Medium Edge of Hexakis Octahedron given Midsphere Radius

Go Medium Edge of Hexakis Octahedron = (6/7)*Midsphere Radius of Hexakis Octahedron

Medium Edge of Hexakis Octahedron given Midsphere Radius Formula

Medium Edge of Hexakis Octahedron = (6/7)*Midsphere Radius of Hexakis Octahedron
l_e(Medium) = (6/7)*r_m

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 Medium Edge of Hexakis Octahedron given Midsphere Radius?

Medium Edge of Hexakis Octahedron given Midsphere Radius calculator uses Medium Edge of Hexakis Octahedron = (6/7)*Midsphere Radius of Hexakis Octahedron to calculate the Medium Edge of Hexakis Octahedron, Medium Edge of Hexakis Octahedron given Midsphere Radius formula is defined as the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using midsphere radius of Hexakis Octahedron. Medium Edge of Hexakis Octahedron is denoted by l_e(Medium) symbol.

How to calculate Medium Edge of Hexakis Octahedron given Midsphere Radius using this online calculator? To use this online calculator for Medium Edge of Hexakis Octahedron given Midsphere Radius, enter Midsphere Radius of Hexakis Octahedron (r_m) and hit the calculate button. Here is how the Medium Edge of Hexakis Octahedron given Midsphere Radius calculation can be explained with given input values -> 16.28571 = (6/7)*19.

FAQ

What is Medium Edge of Hexakis Octahedron given Midsphere Radius?

Medium Edge of Hexakis Octahedron given Midsphere Radius formula is defined as the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using midsphere radius of Hexakis Octahedron and is represented as l_e(Medium) = (6/7)*r_m or Medium Edge of Hexakis Octahedron = (6/7)*Midsphere Radius of Hexakis Octahedron. Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.

How to calculate Medium Edge of Hexakis Octahedron given Midsphere Radius?

Medium Edge of Hexakis Octahedron given Midsphere Radius formula is defined as the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using midsphere radius of Hexakis Octahedron is calculated using Medium Edge of Hexakis Octahedron = (6/7)*Midsphere Radius of Hexakis Octahedron. To calculate Medium Edge of Hexakis Octahedron given Midsphere Radius, you need Midsphere Radius of Hexakis Octahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Medium Edge of Hexakis Octahedron?

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

Medium Edge of Hexakis Octahedron = (3/7)*(sqrt(12+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron
Medium Edge of Hexakis Octahedron = (3/14)*(1+(2*sqrt(2)))*Long Edge of Hexakis Octahedron
Medium Edge of Hexakis Octahedron = (3*Short Edge of Hexakis Octahedron*(1+(2*sqrt(2))))/(10-sqrt(2))
Medium Edge of Hexakis Octahedron = (3/14)*(1+(2*sqrt(2)))*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))
Medium Edge of Hexakis Octahedron = (3/14)*(1+(2*sqrt(2)))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
Medium Edge of Hexakis Octahedron = (3/7)*Insphere Radius of Hexakis Octahedron*((1+(2*sqrt(2)))/(sqrt((402+(195*sqrt(2)))/194)))
Medium Edge of Hexakis Octahedron = (3/14)*(1+(2*sqrt(2)))*((12*(sqrt(543+(176*sqrt(2)))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2)))))))

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