Octahedral Edge Length of Triakis Octahedron given Total Surface Area Calculator

✖Total Surface Area of Triakis Octahedron is the total quantity of plane enclosed on the entire surface of the Triakis Octahedron.ⓘ Total Surface Area of Triakis Octahedron [TSA]

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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 Total Surface Area [l_{e(Octahedron)}]

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Formula

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Octahedral Edge Length of Triakis Octahedron given Total Surface Area

Formula

`"l"_{"e(Octahedron)"} = sqrt("TSA"/(6*sqrt(23-(16*sqrt(2)))))`

Example

`"10.05124m"=sqrt("370m²"/(6*sqrt(23-(16*sqrt(2)))))`

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Octahedral Edge Length of Triakis Octahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))
l_{e(Octahedron)} = sqrt(TSA/(6*sqrt(23-(16*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

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.
Total Surface Area of Triakis Octahedron - (Measured in Square Meter) - Total Surface Area of Triakis Octahedron is the total quantity of plane enclosed on the entire surface of the Triakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Triakis Octahedron: 370 Square Meter --> 370 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Octahedron)} = sqrt(TSA/(6*sqrt(23-(16*sqrt(2))))) --> sqrt(370/(6*sqrt(23-(16*sqrt(2)))))

Evaluating ... ...

l_{e(Octahedron)} = 10.0512361670792

STEP 3: Convert Result to Output's Unit

10.0512361670792 Meter --> No Conversion Required

FINAL ANSWER

10.0512361670792 ≈ 10.05124 Meter <-- Octahedral Edge Length of Triakis 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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Vellore Institute of Technology (VIT), Bhopal

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< 6 Octahedral Edge Length of Triakis Octahedron Calculators

Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio

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

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 Insphere Radius

Go Octahedral Edge Length of Triakis Octahedron = (Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))

Octahedral Edge Length of Triakis Octahedron given Pyramidal Edge Length

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

Octahedral Edge Length of Triakis Octahedron given Volume

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

Go Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron

Octahedral Edge Length of Triakis Octahedron given Total Surface Area Formula

Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))
l_{e(Octahedron)} = sqrt(TSA/(6*sqrt(23-(16*sqrt(2)))))

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 Total Surface Area?

Octahedral Edge Length of Triakis Octahedron given Total Surface Area calculator uses Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2))))) to calculate the Octahedral Edge Length of Triakis Octahedron, Octahedral Edge Length of Triakis Octahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using the total surface area of the 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 Total Surface Area using this online calculator? To use this online calculator for Octahedral Edge Length of Triakis Octahedron given Total Surface Area, enter Total Surface Area of Triakis Octahedron (TSA) and hit the calculate button. Here is how the Octahedral Edge Length of Triakis Octahedron given Total Surface Area calculation can be explained with given input values -> 10.05124 = sqrt(370/(6*sqrt(23-(16*sqrt(2))))).

FAQ

What is Octahedral Edge Length of Triakis Octahedron given Total Surface Area?

Octahedral Edge Length of Triakis Octahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using the total surface area of the Triakis Octahedron and is represented as l_{e(Octahedron)} = sqrt(TSA/(6*sqrt(23-(16*sqrt(2))))) or Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2))))). Total Surface Area of Triakis Octahedron is the total quantity of plane enclosed on the entire surface of the Triakis Octahedron.

How to calculate Octahedral Edge Length of Triakis Octahedron given Total Surface Area?

Octahedral Edge Length of Triakis Octahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using the total surface area of the Triakis Octahedron is calculated using Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2))))). To calculate Octahedral Edge Length of Triakis Octahedron given Total Surface Area, you need Total Surface Area of Triakis Octahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area of Triakis Octahedron. We can use 5 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 = ((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)
Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron
Octahedral Edge Length of Triakis Octahedron = (Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))

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