Insphere Radius of Triakis Tetrahedron given Volume Calculator

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

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✖Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.ⓘ Insphere Radius of Triakis Tetrahedron given Volume [r_i]

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Insphere Radius of Triakis Tetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))
r_i = (3/4)*(sqrt(2/11))*(((20*V)/(3*sqrt(2)))^(1/3))
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 Tetrahedron - (Measured in Meter) - Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.
Volume of Triakis Tetrahedron - (Measured in Cubic Meter) - Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Triakis Tetrahedron: 980 Cubic Meter --> 980 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (3/4)*(sqrt(2/11))*(((20*V)/(3*sqrt(2)))^(1/3)) --> (3/4)*(sqrt(2/11))*(((20*980)/(3*sqrt(2)))^(1/3))

Evaluating ... ...

r_i = 5.32622928636338

STEP 3: Convert Result to Output's Unit

5.32622928636338 Meter --> No Conversion Required

FINAL ANSWER

5.32622928636338 ≈ 5.326229 Meter <-- Insphere Radius of Triakis Tetrahedron

(Calculation completed in 00.020 seconds)

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< Insphere Radius of Triakis Tetrahedron Calculators

Insphere Radius of Triakis Tetrahedron given Total Surface Area

LaTeX Go Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11))))

Insphere Radius of Triakis Tetrahedron given Height

LaTeX Go Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*(1/sqrt(6))*Height of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron

LaTeX Go Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11))

Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*Pyramidal Edge Length of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron given Volume Formula

LaTeX Go

Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))
r_i = (3/4)*(sqrt(2/11))*(((20*V)/(3*sqrt(2)))^(1/3))

What is Triakis Tetrahedron?

In geometry, a Triakis Tetrahedron (or kistetrahedron[1]) is a Catalan solid with 12 faces. Each Catalan solid is the dual of an Archimedean solid. The dual of the Triakis Tetrahedron is the truncated tetrahedron.
The Triakis Tetrahedron can be seen as a tetrahedron with a triangular pyramid added to each face; that is, it is the Kleetope of the tetrahedron.

How to Calculate Insphere Radius of Triakis Tetrahedron given Volume?

Insphere Radius of Triakis Tetrahedron given Volume calculator uses Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)) to calculate the Insphere Radius of Triakis Tetrahedron, The Insphere Radius of Triakis Tetrahedron given Volume formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using volume of Triakis Tetrahedron. Insphere Radius of Triakis Tetrahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Triakis Tetrahedron given Volume using this online calculator? To use this online calculator for Insphere Radius of Triakis Tetrahedron given Volume, enter Volume of Triakis Tetrahedron (V) and hit the calculate button. Here is how the Insphere Radius of Triakis Tetrahedron given Volume calculation can be explained with given input values -> 5.326229 = (3/4)*(sqrt(2/11))*(((20*980)/(3*sqrt(2)))^(1/3)).

FAQ

What is Insphere Radius of Triakis Tetrahedron given Volume?

The Insphere Radius of Triakis Tetrahedron given Volume formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using volume of Triakis Tetrahedron and is represented as r_i = (3/4)*(sqrt(2/11))*(((20*V)/(3*sqrt(2)))^(1/3)) or Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)). Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.

How to calculate Insphere Radius of Triakis Tetrahedron given Volume?

The Insphere Radius of Triakis Tetrahedron given Volume formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using volume of Triakis Tetrahedron is calculated using Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)). To calculate Insphere Radius of Triakis Tetrahedron given Volume, you need Volume of Triakis Tetrahedron (V). With our tool, you need to enter the respective value for Volume of Triakis Tetrahedron 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 Tetrahedron?

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

Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11))
Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11))))
Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*(1/sqrt(6))*Height of Triakis Tetrahedron

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