Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area Calculator

✖The Total Surface Area of Triakis Tetrahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron.ⓘ Total Surface Area of Triakis Tetrahedron [TSA]

+10%

-10%

✖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 Total Surface Area [l_e(Pyramid)]

⎘ Copy

👎

Formula

✖

Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area

Formula

`"l"_{"e(Pyramid)"} = sqrt((3/(5*sqrt(11)))*"TSA")`

Example

`"9.974906m"=sqrt((3/(5*sqrt(11)))*"550m²")`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Edge Length of Triakis Tetrahedron = sqrt((3/(5*sqrt(11)))*Total Surface Area of Triakis Tetrahedron)
l_e(Pyramid) = sqrt((3/(5*sqrt(11)))*TSA)
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.
Total Surface Area of Triakis Tetrahedron - (Measured in Square Meter) - The Total Surface Area of Triakis Tetrahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Triakis Tetrahedron: 550 Square Meter --> 550 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pyramid) = sqrt((3/(5*sqrt(11)))*TSA) --> sqrt((3/(5*sqrt(11)))*550)

Evaluating ... ...

l_e(Pyramid) = 9.97490569933681

STEP 3: Convert Result to Output's Unit

9.97490569933681 Meter --> No Conversion Required

FINAL ANSWER

9.97490569933681 ≈ 9.974906 Meter <-- Pyramidal Edge Length of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Triakis Tetrahedron » Edge Length of Triakis Tetrahedron » Pyramidal Edge Length of Triakis Tetrahedron » Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 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 Total Surface Area Formula

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

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 Total Surface Area?

Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area calculator uses Pyramidal Edge Length of Triakis Tetrahedron = sqrt((3/(5*sqrt(11)))*Total Surface Area of Triakis Tetrahedron) to calculate the Pyramidal Edge Length of Triakis Tetrahedron, Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron, calculated using total surface area 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 Total Surface Area using this online calculator? To use this online calculator for Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area, enter Total Surface Area of Triakis Tetrahedron (TSA) and hit the calculate button. Here is how the Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area calculation can be explained with given input values -> 9.974906 = sqrt((3/(5*sqrt(11)))*550).

FAQ

What is Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area?

Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron, calculated using total surface area of Triakis Tetrahedron and is represented as l_e(Pyramid) = sqrt((3/(5*sqrt(11)))*TSA) or Pyramidal Edge Length of Triakis Tetrahedron = sqrt((3/(5*sqrt(11)))*Total Surface Area of Triakis Tetrahedron). The Total Surface Area of Triakis Tetrahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron.

How to calculate Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area?

Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron, calculated using total surface area of Triakis Tetrahedron is calculated using Pyramidal Edge Length of Triakis Tetrahedron = sqrt((3/(5*sqrt(11)))*Total Surface Area of Triakis Tetrahedron). To calculate Pyramidal Edge Length of Triakis Tetrahedron given Total Surface Area, you need Total Surface Area of Triakis Tetrahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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 = (((18*sqrt(2))/25)*Volume of Triakis Tetrahedron)^(1/3)
Pyramidal Edge Length of Triakis Tetrahedron = (12/(5*sqrt(2)))*Midsphere Radius of Triakis Tetrahedron
Pyramidal Edge Length of Triakis Tetrahedron = (4/5)*(sqrt(11/2))*Insphere Radius of Triakis Tetrahedron

Home

FREE PDFs

🔍 Search