Height 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]

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✖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.ⓘ Height of Triakis Tetrahedron given Insphere Radius [h]

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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))*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

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))*r_i --> (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 00.007 seconds)

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< Height of Triakis Tetrahedron Calculators

Height of Triakis Tetrahedron given Total Surface Area

LaTeX Go Height of Triakis Tetrahedron = sqrt((18*Total Surface Area of Triakis Tetrahedron)/(5*sqrt(11)))

Height of Triakis Tetrahedron

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

Height of Triakis Tetrahedron given Insphere Radius

LaTeX Go Height of Triakis Tetrahedron = (4/5)*(sqrt(33))*Insphere Radius of Triakis Tetrahedron

Height of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron

Height of Triakis Tetrahedron given Insphere Radius Formula

LaTeX Go

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

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 (r_i) 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))*r_i 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 (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 Height of Triakis Tetrahedron?

In this formula, Height 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 -

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)))

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