Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius Calculator

✖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 [r_i]

+10%

-10%

✖Tetrahedral Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron.ⓘ Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius [l_{e(Tetrahedron)}]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tetrahedral Edge Length of Triakis Tetrahedron = (4/3)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron
l_{e(Tetrahedron)} = (4/3)*(sqrt(11/2))*r_i
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

Tetrahedral Edge Length of Triakis Tetrahedron - (Measured in Meter) - Tetrahedral Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron.
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.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Triakis Tetrahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Tetrahedron)} = (4/3)*(sqrt(11/2))*r_i --> (4/3)*(sqrt(11/2))*5

Evaluating ... ...

l_{e(Tetrahedron)} = 15.6347191994114

STEP 3: Convert Result to Output's Unit

15.6347191994114 Meter --> No Conversion Required

FINAL ANSWER

15.6347191994114 ≈ 15.63472 Meter <-- Tetrahedral Edge Length of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Triakis Tetrahedron » Edge Length of Triakis Tetrahedron » Tetrahedral Edge Length of Triakis Tetrahedron » Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< Tetrahedral Edge Length of Triakis Tetrahedron Calculators

Tetrahedral Edge Length of Triakis Tetrahedron given Total Surface Area

LaTeX Go Tetrahedral Edge Length of Triakis Tetrahedron = sqrt((5/(3*sqrt(11)))*Total Surface Area of Triakis Tetrahedron)

Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius

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

Tetrahedral Edge Length of Triakis Tetrahedron given Height

LaTeX Go Tetrahedral Edge Length of Triakis Tetrahedron = (5/(3*sqrt(6)))*Height of Triakis Tetrahedron

Tetrahedral Edge Length of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Tetrahedral Edge Length of Triakis Tetrahedron = (5/3)*Pyramidal Edge Length of Triakis Tetrahedron

Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius Formula

LaTeX Go

Tetrahedral Edge Length of Triakis Tetrahedron = (4/3)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron
l_{e(Tetrahedron)} = (4/3)*(sqrt(11/2))*r_i

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. It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each face.

How to Calculate Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius?

Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius calculator uses Tetrahedral Edge Length of Triakis Tetrahedron = (4/3)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron to calculate the Tetrahedral Edge Length of Triakis Tetrahedron, Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the insphere radius of Triakis Tetrahedron. Tetrahedral Edge Length of Triakis Tetrahedron is denoted by l_{e(Tetrahedron)} symbol.

How to calculate Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius using this online calculator? To use this online calculator for Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius, enter Insphere Radius of Triakis Tetrahedron (r_i) and hit the calculate button. Here is how the Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius calculation can be explained with given input values -> 15.63472 = (4/3)*(sqrt(11/2))*5.

FAQ

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

Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the insphere radius of Triakis Tetrahedron and is represented as l_{e(Tetrahedron)} = (4/3)*(sqrt(11/2))*r_i or Tetrahedral Edge Length of Triakis Tetrahedron = (4/3)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron. Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.

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

Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the insphere radius of Triakis Tetrahedron is calculated using Tetrahedral Edge Length of Triakis Tetrahedron = (4/3)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron. To calculate Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius, you need Insphere Radius of Triakis Tetrahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 Tetrahedral Edge Length of Triakis Tetrahedron?

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

Tetrahedral Edge Length of Triakis Tetrahedron = (5/3)*Pyramidal Edge Length of Triakis Tetrahedron
Tetrahedral Edge Length of Triakis Tetrahedron = (5/(3*sqrt(6)))*Height of Triakis Tetrahedron
Tetrahedral Edge Length of Triakis Tetrahedron = sqrt((5/(3*sqrt(11)))*Total Surface Area of Triakis Tetrahedron)

Home

FREE PDFs

🔍 Search