Insphere Radius of Triakis Tetrahedron given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*(1/sqrt(6))*Height of Triakis Tetrahedron
ri = (5/4)*(sqrt(2/11))*(1/sqrt(6))*h
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.
Height of Triakis Tetrahedron - (Measured in Meter) - Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.
STEP 1: Convert Input(s) to Base Unit
Height of Triakis Tetrahedron: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = (5/4)*(sqrt(2/11))*(1/sqrt(6))*h --> (5/4)*(sqrt(2/11))*(1/sqrt(6))*25
Evaluating ... ...
ri = 5.43992674861556
STEP 3: Convert Result to Output's Unit
5.43992674861556 Meter --> No Conversion Required
FINAL ANSWER
5.43992674861556 5.439927 Meter <-- Insphere Radius of Triakis Tetrahedron
(Calculation completed in 00.020 seconds)

Credits

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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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 Height Formula

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

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 Height?

Insphere Radius of Triakis Tetrahedron given Height calculator uses Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*(1/sqrt(6))*Height of Triakis Tetrahedron to calculate the Insphere Radius of Triakis Tetrahedron, The Insphere Radius of Triakis Tetrahedron given Height formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using height of Triakis Tetrahedron. Insphere Radius of Triakis Tetrahedron is denoted by ri symbol.

How to calculate Insphere Radius of Triakis Tetrahedron given Height using this online calculator? To use this online calculator for Insphere Radius of Triakis Tetrahedron given Height, enter Height of Triakis Tetrahedron (h) and hit the calculate button. Here is how the Insphere Radius of Triakis Tetrahedron given Height calculation can be explained with given input values -> 5.439927 = (5/4)*(sqrt(2/11))*(1/sqrt(6))*25.

FAQ

What is Insphere Radius of Triakis Tetrahedron given Height?
The Insphere Radius of Triakis Tetrahedron given Height formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using height of Triakis Tetrahedron and is represented as ri = (5/4)*(sqrt(2/11))*(1/sqrt(6))*h or Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*(1/sqrt(6))*Height of Triakis Tetrahedron. Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.
How to calculate Insphere Radius of Triakis Tetrahedron given Height?
The Insphere Radius of Triakis Tetrahedron given Height formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using height of Triakis Tetrahedron is calculated using Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*(1/sqrt(6))*Height of Triakis Tetrahedron. To calculate Insphere Radius of Triakis Tetrahedron given Height, you need Height of Triakis Tetrahedron (h). With our tool, you need to enter the respective value for Height 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 Height 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))*Pyramidal Edge Length 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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