Insphere Radius of Triakis Octahedron given Volume Calculator

✖Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.ⓘ Volume of Triakis Octahedron [V]

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✖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 given Volume [r_i]

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Insphere Radius of Triakis Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34)
r_i = (V/(2-sqrt(2)))^(1/3)*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

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.
Volume of Triakis Octahedron - (Measured in Cubic Meter) - Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Triakis Octahedron: 585 Cubic Meter --> 585 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (V/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34) --> (585/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34)

Evaluating ... ...

r_i = 4.79626660616137

STEP 3: Convert Result to Output's Unit

4.79626660616137 Meter --> No Conversion Required

FINAL ANSWER

4.79626660616137 ≈ 4.796267 Meter <-- Insphere Radius of Triakis Octahedron

(Calculation completed in 00.004 seconds)

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< Insphere Radius of Triakis Octahedron Calculators

Insphere Radius of Triakis Octahedron given Total Surface Area

LaTeX Go Insphere Radius of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))*(sqrt((5+(2*sqrt(2)))/34))

Insphere Radius of Triakis Octahedron given Pyramidal Edge Length

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

Insphere Radius of Triakis Octahedron given Volume

LaTeX Go Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34)

Insphere Radius of Triakis Octahedron

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

Insphere Radius of Triakis Octahedron given Volume Formula

LaTeX Go

Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34)
r_i = (V/(2-sqrt(2)))^(1/3)*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 Insphere Radius of Triakis Octahedron given Volume?

Insphere Radius of Triakis Octahedron given Volume calculator uses Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34) to calculate the Insphere Radius of Triakis Octahedron, Insphere Radius of Triakis Octahedron given Volume formula is defined as the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere, calculated using the volume of the Triakis Octahedron. Insphere Radius of Triakis Octahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Triakis Octahedron given Volume using this online calculator? To use this online calculator for Insphere Radius of Triakis Octahedron given Volume, enter Volume of Triakis Octahedron (V) and hit the calculate button. Here is how the Insphere Radius of Triakis Octahedron given Volume calculation can be explained with given input values -> 4.796267 = (585/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34).

FAQ

What is Insphere Radius of Triakis Octahedron given Volume?

Insphere Radius of Triakis Octahedron given Volume formula is defined as the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere, calculated using the volume of the Triakis Octahedron and is represented as r_i = (V/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34) or Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34). Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.

How to calculate Insphere Radius of Triakis Octahedron given Volume?

Insphere Radius of Triakis Octahedron given Volume formula is defined as the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere, calculated using the volume of the Triakis Octahedron is calculated using Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34). To calculate Insphere Radius of Triakis Octahedron given Volume, you need Volume of Triakis Octahedron (V). With our tool, you need to enter the respective value for Volume 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 Insphere Radius of Triakis Octahedron?

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

Insphere Radius of Triakis Octahedron = Octahedral Edge Length of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34)
Insphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))*sqrt((5+(2*sqrt(2)))/34)
Insphere Radius of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))*(sqrt((5+(2*sqrt(2)))/34))

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