Octahedral Edge Length of Triakis Octahedron given Midsphere Radius Calculator

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

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✖Octahedral Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron.ⓘ Octahedral Edge Length of Triakis Octahedron given Midsphere Radius [l_{e(Octahedron)}]

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Octahedral Edge Length of Triakis Octahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron
l_{e(Octahedron)} = 2*r_m
This formula uses 2 Variables

Variables Used

Octahedral Edge Length of Triakis Octahedron - (Measured in Meter) - Octahedral Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron.
Midsphere Radius of Triakis Octahedron - (Measured in Meter) - Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Triakis Octahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Octahedron)} = 2*r_m --> 2*5

Evaluating ... ...

l_{e(Octahedron)} = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Octahedral Edge Length of Triakis Octahedron

(Calculation completed in 00.011 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Octahedral Edge Length of Triakis Octahedron Calculators

Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio

LaTeX Go Octahedral Edge Length of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)

Octahedral Edge Length of Triakis Octahedron given Total Surface Area

LaTeX Go Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))

Octahedral Edge Length of Triakis Octahedron given Pyramidal Edge Length

LaTeX Go Octahedral Edge Length of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))

Octahedral Edge Length of Triakis Octahedron given Volume

LaTeX Go Octahedral Edge Length of Triakis Octahedron = ((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

Octahedral Edge Length of Triakis Octahedron given Midsphere Radius Formula

LaTeX Go

Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron
l_{e(Octahedron)} = 2*r_m

What is Triakis Octahedron?

In geometry, a Triakis Octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It is a regular octahedron with matching regular triangular pyramids attached to its faces. It has eight vertices with three edges and six vertices with eight edges. Triakis Octahedron has 24 faces, 36 edges and 14 vertices.

How to Calculate Octahedral Edge Length of Triakis Octahedron given Midsphere Radius?

Octahedral Edge Length of Triakis Octahedron given Midsphere Radius calculator uses Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron to calculate the Octahedral Edge Length of Triakis Octahedron, Octahedral Edge Length of Triakis Octahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using midsphere radius of Triakis Octahedron. Octahedral Edge Length of Triakis Octahedron is denoted by l_{e(Octahedron)} symbol.

How to calculate Octahedral Edge Length of Triakis Octahedron given Midsphere Radius using this online calculator? To use this online calculator for Octahedral Edge Length of Triakis Octahedron given Midsphere Radius, enter Midsphere Radius of Triakis Octahedron (r_m) and hit the calculate button. Here is how the Octahedral Edge Length of Triakis Octahedron given Midsphere Radius calculation can be explained with given input values -> 10 = 2*5.

FAQ

What is Octahedral Edge Length of Triakis Octahedron given Midsphere Radius?

Octahedral Edge Length of Triakis Octahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using midsphere radius of Triakis Octahedron and is represented as l_{e(Octahedron)} = 2*r_m or Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron. Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere.

How to calculate Octahedral Edge Length of Triakis Octahedron given Midsphere Radius?

Octahedral Edge Length of Triakis Octahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using midsphere radius of Triakis Octahedron is calculated using Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron. To calculate Octahedral Edge Length of Triakis Octahedron given Midsphere Radius, you need Midsphere Radius of Triakis Octahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Triakis 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 Octahedral Edge Length of Triakis Octahedron?

In this formula, Octahedral Edge Length of Triakis Octahedron uses Midsphere Radius of Triakis Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Octahedral Edge Length of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)
Octahedral Edge Length of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))
Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))

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