Height of Triakis Tetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Triakis Tetrahedron = (4/5)*(sqrt(33))*Insphere Radius of Triakis Tetrahedron
h = (4/5)*(sqrt(33))*ri
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
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.
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
h = (4/5)*(sqrt(33))*ri --> (4/5)*(sqrt(33))*5
Evaluating ... ...
h = 22.9782505861521
STEP 3: Convert Result to Output's Unit
22.9782505861521 Meter --> No Conversion Required
FINAL ANSWER
22.9782505861521 22.97825 Meter <-- Height of Triakis Tetrahedron
(Calculation completed in 00.020 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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7 Height of Triakis Tetrahedron Calculators

Height of Triakis Tetrahedron given Volume
Go Height of Triakis Tetrahedron = (3/5)*(sqrt(6))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))
Height of Triakis Tetrahedron given Total Surface Area
Go Height of Triakis Tetrahedron = sqrt((18*Total Surface Area of Triakis Tetrahedron)/(5*sqrt(11)))
Height of Triakis Tetrahedron given Surface to Volume Ratio
Go Height of Triakis Tetrahedron = ((12/5)*(sqrt(33)))/Surface to Volume Ratio of Triakis Tetrahedron
Height of Triakis Tetrahedron
Go Height of Triakis Tetrahedron = ((3*sqrt(6))/5)*Tetrahedral Edge Length of Triakis Tetrahedron
Height of Triakis Tetrahedron given Midsphere Radius
Go Height of Triakis Tetrahedron = (6/5)*(sqrt(12))*Midsphere Radius of Triakis Tetrahedron
Height of Triakis Tetrahedron given Insphere Radius
Go Height of Triakis Tetrahedron = (4/5)*(sqrt(33))*Insphere Radius of Triakis Tetrahedron
Height of Triakis Tetrahedron given Pyramidal Edge Length
Go Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron

Height of Triakis Tetrahedron given Insphere Radius Formula

Height of Triakis Tetrahedron = (4/5)*(sqrt(33))*Insphere Radius of Triakis Tetrahedron
h = (4/5)*(sqrt(33))*ri

What is Triakis Tetrahedron?

In geometry, a Triakis Tetrahedron (or kistetrahedron) 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 Height of Triakis Tetrahedron given Insphere Radius?

Height of Triakis Tetrahedron given Insphere Radius calculator uses Height of Triakis Tetrahedron = (4/5)*(sqrt(33))*Insphere Radius of Triakis Tetrahedron to calculate the Height of Triakis Tetrahedron, The Height of Triakis Tetrahedron given Insphere Radius formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using insphere radius of Triakis Tetrahedron. Height of Triakis Tetrahedron is denoted by h symbol.

How to calculate Height of Triakis Tetrahedron given Insphere Radius using this online calculator? To use this online calculator for Height of Triakis Tetrahedron given Insphere Radius, enter Insphere Radius of Triakis Tetrahedron (ri) and hit the calculate button. Here is how the Height of Triakis Tetrahedron given Insphere Radius calculation can be explained with given input values -> 22.97825 = (4/5)*(sqrt(33))*5.

FAQ

What is Height of Triakis Tetrahedron given Insphere Radius?
The Height of Triakis Tetrahedron given Insphere Radius formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using insphere radius of Triakis Tetrahedron and is represented as h = (4/5)*(sqrt(33))*ri or Height of Triakis Tetrahedron = (4/5)*(sqrt(33))*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 Height of Triakis Tetrahedron given Insphere Radius?
The Height of Triakis Tetrahedron given Insphere Radius formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using insphere radius of Triakis Tetrahedron is calculated using Height of Triakis Tetrahedron = (4/5)*(sqrt(33))*Insphere Radius of Triakis Tetrahedron. To calculate Height of Triakis Tetrahedron given Insphere Radius, you need Insphere Radius of Triakis Tetrahedron (ri). 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 Height of Triakis Tetrahedron?
In this formula, Height of Triakis Tetrahedron uses Insphere Radius of Triakis Tetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron
  • Height of Triakis Tetrahedron = ((3*sqrt(6))/5)*Tetrahedral Edge Length of Triakis Tetrahedron
  • Height of Triakis Tetrahedron = sqrt((18*Total Surface Area of Triakis Tetrahedron)/(5*sqrt(11)))
  • Height of Triakis Tetrahedron = (6/5)*(sqrt(12))*Midsphere Radius of Triakis Tetrahedron
  • Height of Triakis Tetrahedron = ((12/5)*(sqrt(33)))/Surface to Volume Ratio of Triakis Tetrahedron
  • Height of Triakis Tetrahedron = (3/5)*(sqrt(6))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))
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