Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length Calculator

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

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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 Pyramidal Edge Length [r_i]

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Formula

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Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length

Formula

`"r"_{"i"} = (5/4)*(sqrt(2/11))*"l"_{"e(Pyramid)"}`

Example

`"5.330018m"=(5/4)*(sqrt(2/11))*"10m"`

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Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*Pyramidal Edge Length of Triakis Tetrahedron
r_i = (5/4)*(sqrt(2/11))*l_e(Pyramid)
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.
Pyramidal Edge Length of Triakis Tetrahedron - (Measured in Meter) - The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Pyramidal Edge Length of Triakis Tetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (5/4)*(sqrt(2/11))*l_e(Pyramid) --> (5/4)*(sqrt(2/11))*10

Evaluating ... ...

r_i = 5.33001790889026

STEP 3: Convert Result to Output's Unit

5.33001790889026 Meter --> No Conversion Required

FINAL ANSWER

5.33001790889026 ≈ 5.330018 Meter <-- Insphere Radius of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 7 Insphere Radius of Triakis Tetrahedron Calculators

Insphere Radius of Triakis Tetrahedron given Total Surface Area

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 Volume

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

Insphere Radius of Triakis Tetrahedron given Height

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

Insphere Radius of Triakis Tetrahedron

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

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

Insphere Radius of Triakis Tetrahedron given Midsphere Radius

Go Insphere Radius of Triakis Tetrahedron = (3/sqrt(11))*Midsphere Radius of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron given Surface to Volume Ratio

Go Insphere Radius of Triakis Tetrahedron = 3/Surface to Volume Ratio of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length Formula

Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*Pyramidal Edge Length of Triakis Tetrahedron
r_i = (5/4)*(sqrt(2/11))*l_e(Pyramid)

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 Pyramidal Edge Length?

Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length calculator uses Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*Pyramidal Edge Length of Triakis Tetrahedron to calculate the Insphere Radius of Triakis Tetrahedron, The Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using pyramidal edge length of Triakis Tetrahedron. Insphere Radius of Triakis Tetrahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length using this online calculator? To use this online calculator for Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Tetrahedron (l_e(Pyramid)) and hit the calculate button. Here is how the Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length calculation can be explained with given input values -> 5.330018 = (5/4)*(sqrt(2/11))*10.

FAQ

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

The Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using pyramidal edge length of Triakis Tetrahedron and is represented as r_i = (5/4)*(sqrt(2/11))*l_e(Pyramid) or Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*Pyramidal Edge Length of Triakis Tetrahedron. The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.

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

The Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using pyramidal edge length of Triakis Tetrahedron is calculated using Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*Pyramidal Edge Length of Triakis Tetrahedron. To calculate Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length, you need Pyramidal Edge Length of Triakis Tetrahedron (l_e(Pyramid)). With our tool, you need to enter the respective value for Pyramidal Edge Length 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 Pyramidal Edge Length of Triakis Tetrahedron. We can use 6 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
Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))
Insphere Radius of Triakis Tetrahedron = (3/sqrt(11))*Midsphere Radius of Triakis Tetrahedron
Insphere Radius of Triakis Tetrahedron = 3/Surface to Volume Ratio of Triakis Tetrahedron

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