Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tetrahedral Edge Length of Triakis Tetrahedron = (2*sqrt(2))*Midsphere Radius of Triakis Tetrahedron
le(Tetrahedron) = (2*sqrt(2))*rm
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.
Midsphere Radius of Triakis Tetrahedron - (Measured in Meter) - Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Midsphere Radius of Triakis Tetrahedron: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Tetrahedron) = (2*sqrt(2))*rm --> (2*sqrt(2))*6
Evaluating ... ...
le(Tetrahedron) = 16.9705627484771
STEP 3: Convert Result to Output's Unit
16.9705627484771 Meter --> No Conversion Required
FINAL ANSWER
16.9705627484771 16.97056 Meter <-- Tetrahedral Edge Length 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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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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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 Midsphere Radius Formula

​LaTeX ​Go
Tetrahedral Edge Length of Triakis Tetrahedron = (2*sqrt(2))*Midsphere Radius of Triakis Tetrahedron
le(Tetrahedron) = (2*sqrt(2))*rm

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 Midsphere Radius?

Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius calculator uses Tetrahedral Edge Length of Triakis Tetrahedron = (2*sqrt(2))*Midsphere Radius of Triakis Tetrahedron to calculate the Tetrahedral Edge Length of Triakis Tetrahedron, Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the midsphere radius of Triakis Tetrahedron. Tetrahedral Edge Length of Triakis Tetrahedron is denoted by le(Tetrahedron) symbol.

How to calculate Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius, enter Midsphere Radius of Triakis Tetrahedron (rm) and hit the calculate button. Here is how the Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius calculation can be explained with given input values -> 16.97056 = (2*sqrt(2))*6.

FAQ

What is Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius?
Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the midsphere radius of Triakis Tetrahedron and is represented as le(Tetrahedron) = (2*sqrt(2))*rm or Tetrahedral Edge Length of Triakis Tetrahedron = (2*sqrt(2))*Midsphere Radius of Triakis Tetrahedron. Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.
How to calculate Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius?
Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the midsphere radius of Triakis Tetrahedron is calculated using Tetrahedral Edge Length of Triakis Tetrahedron = (2*sqrt(2))*Midsphere Radius of Triakis Tetrahedron. To calculate Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius, you need Midsphere Radius of Triakis Tetrahedron (rm). With our tool, you need to enter the respective value for Midsphere 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 Midsphere 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 = (4/3)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron
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