Total Surface Area of Tetrakis Hexahedron given Insphere Radius Calculator

✖Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Tetrakis Hexahedron [r_i]

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✖Total Surface Area of Tetrakis Hexahedron is the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron.ⓘ Total Surface Area of Tetrakis Hexahedron given Insphere Radius [TSA]

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Total Surface Area of Tetrakis Hexahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Tetrakis Hexahedron = (100*Insphere Radius of Tetrakis Hexahedron^2)/(3*sqrt(5))
TSA = (100*r_i^2)/(3*sqrt(5))
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 Tetrakis Hexahedron - (Measured in Square Meter) - Total Surface Area of Tetrakis Hexahedron is the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron.
Insphere Radius of Tetrakis Hexahedron - (Measured in Meter) - Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Tetrakis Hexahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (100*r_i^2)/(3*sqrt(5)) --> (100*6^2)/(3*sqrt(5))

Evaluating ... ...

TSA = 536.656314599949

STEP 3: Convert Result to Output's Unit

536.656314599949 Square Meter --> No Conversion Required

FINAL ANSWER

536.656314599949 ≈ 536.6563 Square Meter <-- Total Surface Area of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Surface Area of Tetrakis Hexahedron Calculators

Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio

LaTeX Go Total Surface Area of Tetrakis Hexahedron = (60*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron^2

Total Surface Area of Tetrakis Hexahedron given Insphere Radius

LaTeX Go Total Surface Area of Tetrakis Hexahedron = (100*Insphere Radius of Tetrakis Hexahedron^2)/(3*sqrt(5))

Total Surface Area of Tetrakis Hexahedron given Volume

LaTeX Go Total Surface Area of Tetrakis Hexahedron = 3*sqrt(5)*((2*Volume of Tetrakis Hexahedron)/3)^(2/3)

Total Surface Area of Tetrakis Hexahedron given Midsphere Radius

LaTeX Go Total Surface Area of Tetrakis Hexahedron = 6*sqrt(5)*Midsphere Radius of Tetrakis Hexahedron^2

Total Surface Area of Tetrakis Hexahedron given Insphere Radius Formula

LaTeX Go

Total Surface Area of Tetrakis Hexahedron = (100*Insphere Radius of Tetrakis Hexahedron^2)/(3*sqrt(5))
TSA = (100*r_i^2)/(3*sqrt(5))

What is Tetrakis Hexahedron?

In geometry, a Tetrakis Hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid. It can be called a disdyakis hexahedron or hexakis tetrahedron as the dual of an omnitruncated tetrahedron, and as the barycentric subdivision of a tetrahedron. It has 24 faces, 36 edges, 14 vertices.

How to Calculate Total Surface Area of Tetrakis Hexahedron given Insphere Radius?

Total Surface Area of Tetrakis Hexahedron given Insphere Radius calculator uses Total Surface Area of Tetrakis Hexahedron = (100*Insphere Radius of Tetrakis Hexahedron^2)/(3*sqrt(5)) to calculate the Total Surface Area of Tetrakis Hexahedron, The Total Surface Area of Tetrakis Hexahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron. Total Surface Area of Tetrakis Hexahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Tetrakis Hexahedron given Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Tetrakis Hexahedron given Insphere Radius, enter Insphere Radius of Tetrakis Hexahedron (r_i) and hit the calculate button. Here is how the Total Surface Area of Tetrakis Hexahedron given Insphere Radius calculation can be explained with given input values -> 536.6563 = (100*6^2)/(3*sqrt(5)).

FAQ

What is Total Surface Area of Tetrakis Hexahedron given Insphere Radius?

The Total Surface Area of Tetrakis Hexahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron and is represented as TSA = (100*r_i^2)/(3*sqrt(5)) or Total Surface Area of Tetrakis Hexahedron = (100*Insphere Radius of Tetrakis Hexahedron^2)/(3*sqrt(5)). Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.

How to calculate Total Surface Area of Tetrakis Hexahedron given Insphere Radius?

The Total Surface Area of Tetrakis Hexahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron is calculated using Total Surface Area of Tetrakis Hexahedron = (100*Insphere Radius of Tetrakis Hexahedron^2)/(3*sqrt(5)). To calculate Total Surface Area of Tetrakis Hexahedron given Insphere Radius, you need Insphere Radius of Tetrakis Hexahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Tetrakis Hexahedron 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 Tetrakis Hexahedron?

In this formula, Total Surface Area of Tetrakis Hexahedron uses Insphere Radius of Tetrakis Hexahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Tetrakis Hexahedron = (60*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron^2
Total Surface Area of Tetrakis Hexahedron = 6*sqrt(5)*Midsphere Radius of Tetrakis Hexahedron^2
Total Surface Area of Tetrakis Hexahedron = 3*sqrt(5)*((2*Volume of Tetrakis Hexahedron)/3)^(2/3)

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