Total Surface Area of Tetrakis Hexahedron given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Tetrakis Hexahedron = (4*sqrt(5))/3*Height of Tetrakis Hexahedron^2
TSA = (4*sqrt(5))/3*h^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 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.
Height of Tetrakis Hexahedron - (Measured in Meter) - Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex.
STEP 1: Convert Input(s) to Base Unit
Height of Tetrakis Hexahedron: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = (4*sqrt(5))/3*h^2 --> (4*sqrt(5))/3*15^2
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)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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 given Height Formula

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

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 Height?

Total Surface Area of Tetrakis Hexahedron given Height calculator uses Total Surface Area of Tetrakis Hexahedron = (4*sqrt(5))/3*Height of Tetrakis Hexahedron^2 to calculate the Total Surface Area of Tetrakis Hexahedron, The Total Surface Area of Tetrakis Hexahedron given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using height of Tetrakis Hexahedron. Total Surface Area of Tetrakis Hexahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Tetrakis Hexahedron given Height using this online calculator? To use this online calculator for Total Surface Area of Tetrakis Hexahedron given Height, enter Height of Tetrakis Hexahedron (h) and hit the calculate button. Here is how the Total Surface Area of Tetrakis Hexahedron given Height calculation can be explained with given input values -> 670.8204 = (4*sqrt(5))/3*15^2.

FAQ

What is Total Surface Area of Tetrakis Hexahedron given Height?
The Total Surface Area of Tetrakis Hexahedron given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using height of Tetrakis Hexahedron and is represented as TSA = (4*sqrt(5))/3*h^2 or Total Surface Area of Tetrakis Hexahedron = (4*sqrt(5))/3*Height of Tetrakis Hexahedron^2. Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex.
How to calculate Total Surface Area of Tetrakis Hexahedron given Height?
The Total Surface Area of Tetrakis Hexahedron given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using height of Tetrakis Hexahedron is calculated using Total Surface Area of Tetrakis Hexahedron = (4*sqrt(5))/3*Height of Tetrakis Hexahedron^2. To calculate Total Surface Area of Tetrakis Hexahedron given Height, you need Height of Tetrakis Hexahedron (h). With our tool, you need to enter the respective value for Height 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 Height 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 = (16*sqrt(5))/3*Pyramidal Edge Length of Tetrakis Hexahedron^2
  • Total Surface Area of Tetrakis Hexahedron = 3*Cubical Edge Length of Tetrakis Hexahedron^2*sqrt(5)
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