Total Surface Area of Tetrakis Hexahedron Calculator

✖Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron.ⓘ Cubical Edge Length of Tetrakis Hexahedron [l_e(Cube)]

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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 [TSA]

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Formula

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Total Surface Area of Tetrakis Hexahedron

Formula

`"TSA" = 3*"l"_{"e(Cube)"}^2*sqrt(5)`

Example

`"670.8204m²"=3*("10m")^2*sqrt(5)`

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Total Surface Area of Tetrakis Hexahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Tetrakis Hexahedron = 3*Cubical Edge Length of Tetrakis Hexahedron^2*sqrt(5)
TSA = 3*l_e(Cube)^2*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.
Cubical Edge Length of Tetrakis Hexahedron - (Measured in Meter) - Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron.

STEP 1: Convert Input(s) to Base Unit

Cubical Edge Length of Tetrakis Hexahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 3*l_e(Cube)^2*sqrt(5) --> 3*10^2*sqrt(5)

Evaluating ... ...

TSA = 670.820393249937

STEP 3: Convert Result to Output's Unit

670.820393249937 Square Meter --> No Conversion Required

FINAL ANSWER

670.820393249937 ≈ 670.8204 Square Meter <-- Total Surface Area of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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< 7 Surface Area of Tetrakis Hexahedron Calculators

Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio

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 Pyramidal Edge Length

Go Total Surface Area of Tetrakis Hexahedron = (16*sqrt(5))/3*Pyramidal Edge Length of Tetrakis Hexahedron^2

Total Surface Area of Tetrakis Hexahedron given Insphere Radius

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

Total Surface Area of Tetrakis Hexahedron

Go Total Surface Area of Tetrakis Hexahedron = 3*Cubical Edge Length of Tetrakis Hexahedron^2*sqrt(5)

Total Surface Area of Tetrakis Hexahedron given Volume

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

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

Total Surface Area of Tetrakis Hexahedron given Height

Go Total Surface Area of Tetrakis Hexahedron = (4*sqrt(5))/3*Height of Tetrakis Hexahedron^2

Total Surface Area of Tetrakis Hexahedron Formula

Total Surface Area of Tetrakis Hexahedron = 3*Cubical Edge Length of Tetrakis Hexahedron^2*sqrt(5)
TSA = 3*l_e(Cube)^2*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?

Total Surface Area of Tetrakis Hexahedron calculator uses Total Surface Area of Tetrakis Hexahedron = 3*Cubical Edge Length of Tetrakis Hexahedron^2*sqrt(5) to calculate the Total Surface Area of Tetrakis Hexahedron, Total Surface Area of Tetrakis Hexahedron formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron. Total Surface Area of Tetrakis Hexahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Tetrakis Hexahedron using this online calculator? To use this online calculator for Total Surface Area of Tetrakis Hexahedron, enter Cubical Edge Length of Tetrakis Hexahedron (l_e(Cube)) and hit the calculate button. Here is how the Total Surface Area of Tetrakis Hexahedron calculation can be explained with given input values -> 670.8204 = 3*10^2*sqrt(5).

FAQ

What is Total Surface Area of Tetrakis Hexahedron?

Total Surface Area of Tetrakis Hexahedron formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron and is represented as TSA = 3*l_e(Cube)^2*sqrt(5) or Total Surface Area of Tetrakis Hexahedron = 3*Cubical Edge Length of Tetrakis Hexahedron^2*sqrt(5). Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron.

How to calculate Total Surface Area of Tetrakis Hexahedron?

Total Surface Area of Tetrakis Hexahedron formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron is calculated using Total Surface Area of Tetrakis Hexahedron = 3*Cubical Edge Length of Tetrakis Hexahedron^2*sqrt(5). To calculate Total Surface Area of Tetrakis Hexahedron, you need Cubical Edge Length of Tetrakis Hexahedron (l_e(Cube)). With our tool, you need to enter the respective value for Cubical Edge Length 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 Cubical Edge Length of Tetrakis Hexahedron. We can use 6 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 = (100*Insphere Radius of Tetrakis Hexahedron^2)/(3*sqrt(5))
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)
Total Surface Area of Tetrakis Hexahedron = (4*sqrt(5))/3*Height of Tetrakis Hexahedron^2
Total Surface Area of Tetrakis Hexahedron = (16*sqrt(5))/3*Pyramidal Edge Length of Tetrakis Hexahedron^2

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