Total Surface Area 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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✖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 given Pyramidal Edge Length [TSA]

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Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2
TSA = (5/3)*sqrt(11)*(l_e(Pyramid))^2
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.
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

TSA = (5/3)*sqrt(11)*(l_e(Pyramid))^2 --> (5/3)*sqrt(11)*(10)^2

Evaluating ... ...

TSA = 552.770798392567

STEP 3: Convert Result to Output's Unit

552.770798392567 Square Meter --> No Conversion Required

FINAL ANSWER

552.770798392567 ≈ 552.7708 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 given Pyramidal Edge Length Formula

LaTeX Go

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

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.

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

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

How to calculate Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length using this online calculator? To use this online calculator for Total Surface Area 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 Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length calculation can be explained with given input values -> 552.7708 = (5/3)*sqrt(11)*(10)^2.

FAQ

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

Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using pyramidal edge length of Triakis Tetrahedron and is represented as TSA = (5/3)*sqrt(11)*(l_e(Pyramid))^2 or Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2. 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 Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length?

Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using pyramidal edge length of Triakis Tetrahedron is calculated using Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2. To calculate Total Surface Area 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 Total Surface Area of Triakis Tetrahedron?

In this formula, Total Surface Area of Triakis Tetrahedron uses Pyramidal 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 = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)
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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