Pyramidal Edge Length of Triakis Octahedron given Insphere Radius Calculator

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

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✖Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.ⓘ Pyramidal Edge Length of Triakis Octahedron given Insphere Radius [l_e(Pyramid)]

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Pyramidal Edge Length of Triakis Octahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))
l_e(Pyramid) = (2-sqrt(2))*((r_i)/(sqrt((5+(2*sqrt(2)))/34)))
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

Pyramidal Edge Length of Triakis Octahedron - (Measured in Meter) - Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.
Insphere Radius of Triakis Octahedron - (Measured in Meter) - Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Triakis Octahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pyramid) = (2-sqrt(2))*((r_i)/(sqrt((5+(2*sqrt(2)))/34))) --> (2-sqrt(2))*((4)/(sqrt((5+(2*sqrt(2)))/34)))

Evaluating ... ...

l_e(Pyramid) = 4.88316619929638

STEP 3: Convert Result to Output's Unit

4.88316619929638 Meter --> No Conversion Required

FINAL ANSWER

4.88316619929638 ≈ 4.883166 Meter <-- Pyramidal Edge Length of Triakis Octahedron

(Calculation completed in 00.004 seconds)

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< Pyramidal Edge Length of Triakis Octahedron Calculators

Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio

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

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius

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

Pyramidal Edge Length of Triakis Octahedron given Volume

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

Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius

LaTeX Go Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius Formula

LaTeX Go

Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))
l_e(Pyramid) = (2-sqrt(2))*((r_i)/(sqrt((5+(2*sqrt(2)))/34)))

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 Pyramidal Edge Length of Triakis Octahedron given Insphere Radius?

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius calculator uses Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))) to calculate the Pyramidal Edge Length of Triakis Octahedron, Pyramidal Edge Length of Triakis Octahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of the pyramid of Triakis Octahedron, calculated using the insphere radius of Triakis Octahedron. Pyramidal Edge Length of Triakis Octahedron is denoted by l_e(Pyramid) symbol.

How to calculate Pyramidal Edge Length of Triakis Octahedron given Insphere Radius using this online calculator? To use this online calculator for Pyramidal Edge Length of Triakis Octahedron given Insphere Radius, enter Insphere Radius of Triakis Octahedron (r_i) and hit the calculate button. Here is how the Pyramidal Edge Length of Triakis Octahedron given Insphere Radius calculation can be explained with given input values -> 4.883166 = (2-sqrt(2))*((4)/(sqrt((5+(2*sqrt(2)))/34))).

FAQ

What is Pyramidal Edge Length of Triakis Octahedron given Insphere Radius?

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of the pyramid of Triakis Octahedron, calculated using the insphere radius of Triakis Octahedron and is represented as l_e(Pyramid) = (2-sqrt(2))*((r_i)/(sqrt((5+(2*sqrt(2)))/34))) or Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))). Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere.

How to calculate Pyramidal Edge Length of Triakis Octahedron given Insphere Radius?

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of the pyramid of Triakis Octahedron, calculated using the insphere radius of Triakis Octahedron is calculated using Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))). To calculate Pyramidal Edge Length of Triakis Octahedron given Insphere Radius, you need Insphere Radius of Triakis Octahedron (r_i). With our tool, you need to enter the respective value for Insphere 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 Pyramidal Edge Length of Triakis Octahedron?

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

Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))
Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron
Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

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