Tetrahedral Edge Length of Triakis Tetrahedron given Height Calculator

✖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 [h]

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✖Tetrahedral Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron.ⓘ Tetrahedral Edge Length of Triakis Tetrahedron given Height [l_{e(Tetrahedron)}]

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Formula

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Tetrahedral Edge Length of Triakis Tetrahedron given Height

Formula

`"l"_{"e(Tetrahedron)"} = (5/(3*sqrt(6)))*"h"`

Example

`"17.01035m"=(5/(3*sqrt(6)))*"25m"`

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Tetrahedral Edge Length of Triakis Tetrahedron given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tetrahedral Edge Length of Triakis Tetrahedron = (5/(3*sqrt(6)))*Height of Triakis Tetrahedron
l_{e(Tetrahedron)} = (5/(3*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

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.
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

l_{e(Tetrahedron)} = (5/(3*sqrt(6)))*h --> (5/(3*sqrt(6)))*25

Evaluating ... ...

l_{e(Tetrahedron)} = 17.0103454359943

STEP 3: Convert Result to Output's Unit

17.0103454359943 Meter --> No Conversion Required

FINAL ANSWER

17.0103454359943 ≈ 17.01035 Meter <-- Tetrahedral Edge Length of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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< 7 Tetrahedral Edge Length of Triakis Tetrahedron Calculators

Tetrahedral Edge Length of Triakis Tetrahedron given Surface to Volume Ratio

Go Tetrahedral Edge Length of Triakis Tetrahedron = (4*sqrt(11))/(Surface to Volume Ratio of Triakis Tetrahedron*sqrt(2))

Tetrahedral Edge Length of Triakis Tetrahedron given Total Surface Area

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

Go Tetrahedral Edge Length of Triakis Tetrahedron = (4/3)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron

Tetrahedral Edge Length of Triakis Tetrahedron given Volume

Go Tetrahedral Edge Length of Triakis Tetrahedron = ((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)

Tetrahedral Edge Length of Triakis Tetrahedron given Midsphere Radius

Go Tetrahedral Edge Length of Triakis Tetrahedron = (2*sqrt(2))*Midsphere Radius of Triakis Tetrahedron

Tetrahedral Edge Length of Triakis Tetrahedron given Height

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

Go Tetrahedral Edge Length of Triakis Tetrahedron = (5/3)*Pyramidal Edge Length of Triakis Tetrahedron

Tetrahedral Edge Length of Triakis Tetrahedron given Height Formula

Tetrahedral Edge Length of Triakis Tetrahedron = (5/(3*sqrt(6)))*Height of Triakis Tetrahedron
l_{e(Tetrahedron)} = (5/(3*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. 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 Height?

Tetrahedral Edge Length of Triakis Tetrahedron given Height calculator uses Tetrahedral Edge Length of Triakis Tetrahedron = (5/(3*sqrt(6)))*Height of Triakis Tetrahedron to calculate the Tetrahedral Edge Length of Triakis Tetrahedron, Tetrahedral Edge Length of Triakis Tetrahedron given Height formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the height of Triakis Tetrahedron. Tetrahedral Edge Length of Triakis Tetrahedron is denoted by l_{e(Tetrahedron)} symbol.

How to calculate Tetrahedral Edge Length of Triakis Tetrahedron given Height using this online calculator? To use this online calculator for Tetrahedral Edge Length of Triakis Tetrahedron given Height, enter Height of Triakis Tetrahedron (h) and hit the calculate button. Here is how the Tetrahedral Edge Length of Triakis Tetrahedron given Height calculation can be explained with given input values -> 17.01035 = (5/(3*sqrt(6)))*25.

FAQ

What is Tetrahedral Edge Length of Triakis Tetrahedron given Height?

Tetrahedral Edge Length of Triakis Tetrahedron given Height formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the height of Triakis Tetrahedron and is represented as l_{e(Tetrahedron)} = (5/(3*sqrt(6)))*h or Tetrahedral Edge Length of Triakis Tetrahedron = (5/(3*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 Tetrahedral Edge Length of Triakis Tetrahedron given Height?

Tetrahedral Edge Length of Triakis Tetrahedron given Height formula is defined as the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, and calculated using the height of Triakis Tetrahedron is calculated using Tetrahedral Edge Length of Triakis Tetrahedron = (5/(3*sqrt(6)))*Height of Triakis Tetrahedron. To calculate Tetrahedral Edge Length 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 Tetrahedral Edge Length of Triakis Tetrahedron?

In this formula, Tetrahedral Edge Length of Triakis Tetrahedron uses Height of Triakis Tetrahedron. We can use 6 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 = (4/3)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron
Tetrahedral Edge Length of Triakis Tetrahedron = sqrt((5/(3*sqrt(11)))*Total Surface Area of Triakis Tetrahedron)
Tetrahedral Edge Length of Triakis Tetrahedron = ((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)
Tetrahedral Edge Length of Triakis Tetrahedron = (2*sqrt(2))*Midsphere Radius of Triakis Tetrahedron
Tetrahedral Edge Length of Triakis Tetrahedron = (4*sqrt(11))/(Surface to Volume Ratio of Triakis Tetrahedron*sqrt(2))

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