Total Surface Area of Triakis Tetrahedron Calculator

✖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 [l_{e(Tetrahedron)}]

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✖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]

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Total Surface Area of Triakis Tetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)
TSA = (3/5)*(l_{e(Tetrahedron)})^2*sqrt(11)
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Tetrahedral Edge Length of Triakis Tetrahedron: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/5)*(l_{e(Tetrahedron)})^2*sqrt(11) --> (3/5)*(17)^2*sqrt(11)

Evaluating ... ...

TSA = 575.102738647626

STEP 3: Convert Result to Output's Unit

575.102738647626 Square Meter --> No Conversion Required

FINAL ANSWER

575.102738647626 ≈ 575.1027 Square Meter <-- Total Surface Area of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Triakis Tetrahedron Calculators

Total Surface Area of Triakis Tetrahedron given Volume

LaTeX Go Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3)

Total Surface Area of Triakis Tetrahedron

LaTeX Go Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)

Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2

Total Surface Area of Triakis Tetrahedron given Height

LaTeX Go Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)

Total Surface Area of Triakis Tetrahedron Formula

LaTeX Go

Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)
TSA = (3/5)*(l_{e(Tetrahedron)})^2*sqrt(11)

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 Total Surface Area of Triakis Tetrahedron?

Total Surface Area of Triakis Tetrahedron calculator uses Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11) to calculate the Total Surface Area of Triakis Tetrahedron, Total Surface Area of Triakis Tetrahedron formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron. Total Surface Area of Triakis Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Triakis Tetrahedron using this online calculator? To use this online calculator for Total Surface Area of Triakis Tetrahedron, enter Tetrahedral Edge Length of Triakis Tetrahedron (l_{e(Tetrahedron)}) and hit the calculate button. Here is how the Total Surface Area of Triakis Tetrahedron calculation can be explained with given input values -> 575.1027 = (3/5)*(17)^2*sqrt(11).

FAQ

What is Total Surface Area of Triakis Tetrahedron?

Total Surface Area of Triakis Tetrahedron formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron and is represented as TSA = (3/5)*(l_{e(Tetrahedron)})^2*sqrt(11) or Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11). Tetrahedral Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron.

How to calculate Total Surface Area of Triakis Tetrahedron?

Total Surface Area of Triakis Tetrahedron formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron is calculated using Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11). To calculate Total Surface Area of Triakis Tetrahedron, you need Tetrahedral Edge Length of Triakis Tetrahedron (l_{e(Tetrahedron)}). With our tool, you need to enter the respective value for Tetrahedral 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 Total Surface Area of Triakis Tetrahedron?

In this formula, Total Surface Area of Triakis Tetrahedron uses Tetrahedral Edge Length of Triakis Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2
Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)
Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3)

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