Total Surface Area of Triakis Tetrahedron given Insphere Radius Calculator

✖Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.ⓘ Insphere Radius of Triakis Tetrahedron [r_i]

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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 Insphere Radius [TSA]

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Total Surface Area of Triakis Tetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2
TSA = 3/5*sqrt(11)*11/2*16/9*r_i^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.
Insphere Radius of Triakis Tetrahedron - (Measured in Meter) - Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Triakis Tetrahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 3/5*sqrt(11)*11/2*16/9*r_i^2 --> 3/5*sqrt(11)*11/2*16/9*5^2

Evaluating ... ...

TSA = 486.438302585459

STEP 3: Convert Result to Output's Unit

486.438302585459 Square Meter --> No Conversion Required

FINAL ANSWER

486.438302585459 ≈ 486.4383 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 Insphere Radius Formula

LaTeX Go

Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2
TSA = 3/5*sqrt(11)*11/2*16/9*r_i^2

What is Triakis 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 given Insphere Radius?

Total Surface Area of Triakis Tetrahedron given Insphere Radius calculator uses Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2 to calculate the Total Surface Area of Triakis Tetrahedron, Total Surface Area of Triakis Tetrahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using insphere radius of Triakis Tetrahedron. Total Surface Area of Triakis Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Triakis Tetrahedron given Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Triakis Tetrahedron given Insphere Radius, enter Insphere Radius of Triakis Tetrahedron (r_i) and hit the calculate button. Here is how the Total Surface Area of Triakis Tetrahedron given Insphere Radius calculation can be explained with given input values -> 486.4383 = 3/5*sqrt(11)*11/2*16/9*5^2.

FAQ

What is Total Surface Area of Triakis Tetrahedron given Insphere Radius?

Total Surface Area of Triakis Tetrahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using insphere radius of Triakis Tetrahedron and is represented as TSA = 3/5*sqrt(11)*11/2*16/9*r_i^2 or Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2. Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.

How to calculate Total Surface Area of Triakis Tetrahedron given Insphere Radius?

Total Surface Area of Triakis Tetrahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using insphere radius of Triakis Tetrahedron is calculated using Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2. To calculate Total Surface Area of Triakis Tetrahedron given Insphere Radius, you need Insphere Radius of Triakis Tetrahedron (r_i). With our tool, you need to enter the respective value for Insphere 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 Total Surface Area of Triakis Tetrahedron?

In this formula, Total Surface Area of Triakis Tetrahedron uses Insphere Radius 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 = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2
Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)

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