Height of Tetrakis Hexahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Tetrakis Hexahedron = 3/2*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
h = 3/2*sqrt(TSA/(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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Tetrakis Hexahedron: 670 Square Meter --> 670 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = 3/2*sqrt(TSA/(3*sqrt(5))) --> 3/2*sqrt(670/(3*sqrt(5)))
Evaluating ... ...
h = 14.9908249185536
STEP 3: Convert Result to Output's Unit
14.9908249185536 Meter --> No Conversion Required
FINAL ANSWER
14.9908249185536 14.99082 Meter <-- Height 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 Height of Tetrakis Hexahedron Calculators

Height of Tetrakis Hexahedron given Total Surface Area
Go Height of Tetrakis Hexahedron = 3/2*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
Height of Tetrakis Hexahedron given Surface to Volume Ratio
Go Height of Tetrakis Hexahedron = 3*sqrt(5)/Surface to Volume Ratio of Tetrakis Hexahedron
Height of Tetrakis Hexahedron given Midsphere Radius
Go Height of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(2)
Height of Tetrakis Hexahedron given Insphere Radius
Go Height of Tetrakis Hexahedron = sqrt(5)*Insphere Radius of Tetrakis Hexahedron
Height of Tetrakis Hexahedron given Volume
Go Height of Tetrakis Hexahedron = 3/2*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
Height of Tetrakis Hexahedron given Pyramidal Edge Length
Go Height of Tetrakis Hexahedron = 2*Pyramidal Edge Length of Tetrakis Hexahedron
Height of Tetrakis Hexahedron
Go Height of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron

Height of Tetrakis Hexahedron given Total Surface Area Formula

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

Height of Tetrakis Hexahedron given Total Surface Area calculator uses Height of Tetrakis Hexahedron = 3/2*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5))) to calculate the Height of Tetrakis Hexahedron, The Height of Tetrakis Hexahedron given Total Surface Area formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using total surface area of Tetrakis Hexahedron. Height of Tetrakis Hexahedron is denoted by h symbol.

How to calculate Height of Tetrakis Hexahedron given Total Surface Area using this online calculator? To use this online calculator for Height of Tetrakis Hexahedron given Total Surface Area, enter Total Surface Area of Tetrakis Hexahedron (TSA) and hit the calculate button. Here is how the Height of Tetrakis Hexahedron given Total Surface Area calculation can be explained with given input values -> 14.99082 = 3/2*sqrt(670/(3*sqrt(5))).

FAQ

What is Height of Tetrakis Hexahedron given Total Surface Area?
The Height of Tetrakis Hexahedron given Total Surface Area formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using total surface area of Tetrakis Hexahedron and is represented as h = 3/2*sqrt(TSA/(3*sqrt(5))) or Height of Tetrakis Hexahedron = 3/2*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5))). Total Surface Area of Tetrakis Hexahedron is the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron.
How to calculate Height of Tetrakis Hexahedron given Total Surface Area?
The Height of Tetrakis Hexahedron given Total Surface Area formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using total surface area of Tetrakis Hexahedron is calculated using Height of Tetrakis Hexahedron = 3/2*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5))). To calculate Height of Tetrakis Hexahedron given Total Surface Area, you need Total Surface Area of Tetrakis Hexahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Height of Tetrakis Hexahedron?
In this formula, Height of Tetrakis Hexahedron uses Total Surface Area of Tetrakis Hexahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Height of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron
  • Height of Tetrakis Hexahedron = 3*sqrt(5)/Surface to Volume Ratio of Tetrakis Hexahedron
  • Height of Tetrakis Hexahedron = sqrt(5)*Insphere Radius of Tetrakis Hexahedron
  • Height of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(2)
  • Height of Tetrakis Hexahedron = 3/2*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
  • Height of Tetrakis Hexahedron = 2*Pyramidal Edge Length of Tetrakis Hexahedron
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