Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.ⓘ Midsphere Radius of Triakis Tetrahedron [r_m]

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✖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 given Midsphere Radius [l_e(Pyramid)]

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Formula

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Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius

Formula

`"l"_{"e(Pyramid)"} = (12/(5*sqrt(2)))*"r"_{"m"}`

Example

`"10.18234m"=(12/(5*sqrt(2)))*"6m"`

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Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Edge Length of Triakis Tetrahedron = (12/(5*sqrt(2)))*Midsphere Radius of Triakis Tetrahedron
l_e(Pyramid) = (12/(5*sqrt(2)))*r_m
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

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.
Midsphere Radius of Triakis Tetrahedron - (Measured in Meter) - Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Triakis Tetrahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pyramid) = (12/(5*sqrt(2)))*r_m --> (12/(5*sqrt(2)))*6

Evaluating ... ...

l_e(Pyramid) = 10.1823376490863

STEP 3: Convert Result to Output's Unit

10.1823376490863 Meter --> No Conversion Required

FINAL ANSWER

10.1823376490863 ≈ 10.18234 Meter <-- Pyramidal Edge Length of Triakis Tetrahedron

(Calculation completed in 00.020 seconds)

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< 6 Pyramidal Edge Length of Triakis Tetrahedron Calculators

Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area

Go Pyramidal Edge Length of Triakis Tetrahedron = sqrt((3/(5*sqrt(11)))*Total Surface Area of Triakis Tetrahedron)

Pyramidal Edge Length of Triakis Tetrahedron given Insphere Radius

Go Pyramidal Edge Length of Triakis Tetrahedron = (4/5)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron

Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius

Go Pyramidal Edge Length of Triakis Tetrahedron = (12/(5*sqrt(2)))*Midsphere Radius of Triakis Tetrahedron

Pyramidal Edge Length of Triakis Tetrahedron given Volume

Go Pyramidal Edge Length of Triakis Tetrahedron = (((18*sqrt(2))/25)*Volume of Triakis Tetrahedron)^(1/3)

Pyramidal Edge Length of Triakis Tetrahedron given Height

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

Pyramidal Edge Length of Triakis Tetrahedron

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

Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius Formula

Pyramidal Edge Length of Triakis Tetrahedron = (12/(5*sqrt(2)))*Midsphere Radius of Triakis Tetrahedron
l_e(Pyramid) = (12/(5*sqrt(2)))*r_m

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 Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius?

Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius calculator uses Pyramidal Edge Length of Triakis Tetrahedron = (12/(5*sqrt(2)))*Midsphere Radius of Triakis Tetrahedron to calculate the Pyramidal Edge Length of Triakis Tetrahedron, Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron, calculated using midsphere radius of Triakis Tetrahedron. Pyramidal Edge Length of Triakis Tetrahedron is denoted by l_e(Pyramid) symbol.

How to calculate Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius, enter Midsphere Radius of Triakis Tetrahedron (r_m) and hit the calculate button. Here is how the Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius calculation can be explained with given input values -> 10.18234 = (12/(5*sqrt(2)))*6.

FAQ

What is Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius?

Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron, calculated using midsphere radius of Triakis Tetrahedron and is represented as l_e(Pyramid) = (12/(5*sqrt(2)))*r_m or Pyramidal Edge Length of Triakis Tetrahedron = (12/(5*sqrt(2)))*Midsphere Radius of Triakis Tetrahedron. Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.

How to calculate Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius?

Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron, calculated using midsphere radius of Triakis Tetrahedron is calculated using Pyramidal Edge Length of Triakis Tetrahedron = (12/(5*sqrt(2)))*Midsphere Radius of Triakis Tetrahedron. To calculate Pyramidal Edge Length of Triakis Tetrahedron given Midsphere Radius, you need Midsphere Radius of Triakis Tetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Pyramidal Edge Length of Triakis Tetrahedron?

In this formula, Pyramidal Edge Length of Triakis Tetrahedron uses Midsphere Radius of Triakis Tetrahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -

Pyramidal Edge Length of Triakis Tetrahedron = (3/5)*Tetrahedral Edge Length of Triakis Tetrahedron
Pyramidal Edge Length of Triakis Tetrahedron = Height of Triakis Tetrahedron/(sqrt(6))
Pyramidal Edge Length of Triakis Tetrahedron = sqrt((3/(5*sqrt(11)))*Total Surface Area of Triakis Tetrahedron)
Pyramidal Edge Length of Triakis Tetrahedron = (((18*sqrt(2))/25)*Volume of Triakis Tetrahedron)^(1/3)
Pyramidal Edge Length of Triakis Tetrahedron = (4/5)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron

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