Height of Triakis Tetrahedron given Pyramidal Edge Length Calculator

✖The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.ⓘ Pyramidal Edge Length of Triakis Tetrahedron [l_e(Pyramid)]

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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 Pyramidal Edge Length [h]

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Formula

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Height of Triakis Tetrahedron given Pyramidal Edge Length

Formula

`"h" = sqrt(6)*"l"_{"e(Pyramid)"}`

Example

`"24.4949m"=sqrt(6)*"10m"`

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Height of Triakis Tetrahedron given Pyramidal Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron
h = sqrt(6)*l_e(Pyramid)
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.
Pyramidal Edge Length of Triakis Tetrahedron - (Measured in Meter) - The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Pyramidal Edge Length of Triakis Tetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(6)*l_e(Pyramid) --> sqrt(6)*10

Evaluating ... ...

h = 24.4948974278318

STEP 3: Convert Result to Output's Unit

24.4948974278318 Meter --> No Conversion Required

FINAL ANSWER

24.4948974278318 ≈ 24.4949 Meter <-- Height of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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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 Pyramidal Edge Length Formula

Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron
h = sqrt(6)*l_e(Pyramid)

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 Pyramidal Edge Length?

Height of Triakis Tetrahedron given Pyramidal Edge Length calculator uses Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron to calculate the Height of Triakis Tetrahedron, Height of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using pyramidal edge length of Triakis Tetrahedron. Height of Triakis Tetrahedron is denoted by h symbol.

How to calculate Height of Triakis Tetrahedron given Pyramidal Edge Length using this online calculator? To use this online calculator for Height of Triakis Tetrahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Tetrahedron (l_e(Pyramid)) and hit the calculate button. Here is how the Height of Triakis Tetrahedron given Pyramidal Edge Length calculation can be explained with given input values -> 24.4949 = sqrt(6)*10.

FAQ

What is Height of Triakis Tetrahedron given Pyramidal Edge Length?

Height of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using pyramidal edge length of Triakis Tetrahedron and is represented as h = sqrt(6)*l_e(Pyramid) or Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron. The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.

How to calculate Height of Triakis Tetrahedron given Pyramidal Edge Length?

Height of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using pyramidal edge length of Triakis Tetrahedron is calculated using Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron. To calculate Height of Triakis Tetrahedron given Pyramidal Edge Length, you need Pyramidal Edge Length of Triakis Tetrahedron (l_e(Pyramid)). With our tool, you need to enter the respective value for Pyramidal Edge Length 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 Pyramidal Edge Length of Triakis Tetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

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