Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Tetrakis Hexahedron = (60*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron^2
TSA = (60*sqrt(5))/RA/V^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.
Surface to Volume Ratio of Tetrakis Hexahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Tetrakis Hexahedron is the numerical ratio of the total surface area of the Tetrakis Hexahedron to the volume of the Tetrakis Hexahedron.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Tetrakis Hexahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = (60*sqrt(5))/RA/V^2 --> (60*sqrt(5))/0.4^2
Evaluating ... ...
TSA = 838.525491562421
STEP 3: Convert Result to Output's Unit
838.525491562421 Square Meter --> No Conversion Required
FINAL ANSWER
838.525491562421 838.5255 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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Indian Institute of Information Technology (IIIT), Bhopal
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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 Surface to Volume Ratio Formula

Total Surface Area of Tetrakis Hexahedron = (60*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron^2
TSA = (60*sqrt(5))/RA/V^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 Surface to Volume Ratio?

Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio calculator uses Total Surface Area of Tetrakis Hexahedron = (60*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron^2 to calculate the Total Surface Area of Tetrakis Hexahedron, The Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron. Total Surface Area of Tetrakis Hexahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Tetrakis Hexahedron (RA/V) and hit the calculate button. Here is how the Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio calculation can be explained with given input values -> 838.5255 = (60*sqrt(5))/0.4^2.

FAQ

What is Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio?
The Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron and is represented as TSA = (60*sqrt(5))/RA/V^2 or Total Surface Area of Tetrakis Hexahedron = (60*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron^2. Surface to Volume Ratio of Tetrakis Hexahedron is the numerical ratio of the total surface area of the Tetrakis Hexahedron to the volume of the Tetrakis Hexahedron.
How to calculate Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio?
The Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron is calculated using Total Surface Area of Tetrakis Hexahedron = (60*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron^2. To calculate Total Surface Area of Tetrakis Hexahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Tetrakis Hexahedron (RA/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio 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 = (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
  • Total Surface Area of Tetrakis Hexahedron = 3*Cubical Edge Length of Tetrakis Hexahedron^2*sqrt(5)
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