Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio of Tetrakis Hexahedron)
le(Pyramid) = (3*sqrt(5))/(2*RA/V)
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
Pyramidal Edge Length of Tetrakis Hexahedron - (Measured in Meter) - Pyramidal Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of pyramid of 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
le(Pyramid) = (3*sqrt(5))/(2*RA/V) --> (3*sqrt(5))/(2*0.4)
Evaluating ... ...
le(Pyramid) = 8.38525491562421
STEP 3: Convert Result to Output's Unit
8.38525491562421 Meter --> No Conversion Required
FINAL ANSWER
8.38525491562421 8.385255 Meter <-- Pyramidal Edge Length of Tetrakis Hexahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Pyramidal Edge Length of Tetrakis Hexahedron Calculators

Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio
​ LaTeX ​ Go Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio of Tetrakis Hexahedron)
Pyramidal Edge Length of Tetrakis Hexahedron given Midsphere Radius
​ LaTeX ​ Go Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2))
Pyramidal Edge Length of Tetrakis Hexahedron given Inpshere Radius
​ LaTeX ​ Go Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5))
Pyramidal Edge Length of Tetrakis Hexahedron
​ LaTeX ​ Go Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*Cubical Edge Length of Tetrakis Hexahedron

Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio Formula

​LaTeX ​Go
Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio of Tetrakis Hexahedron)
le(Pyramid) = (3*sqrt(5))/(2*RA/V)

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 Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio?

Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio calculator uses Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio of Tetrakis Hexahedron) to calculate the Pyramidal Edge Length of Tetrakis Hexahedron, Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron. Pyramidal Edge Length of Tetrakis Hexahedron is denoted by le(Pyramid) symbol.

How to calculate Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Pyramidal Edge Length 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 Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio calculation can be explained with given input values -> 8.385255 = (3*sqrt(5))/(2*0.4).

FAQ

What is Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio?
Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron and is represented as le(Pyramid) = (3*sqrt(5))/(2*RA/V) or Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio of Tetrakis Hexahedron). 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 Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio?
Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron is calculated using Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio of Tetrakis Hexahedron). To calculate Pyramidal Edge Length 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 Pyramidal Edge Length of Tetrakis Hexahedron?
In this formula, Pyramidal Edge Length of Tetrakis Hexahedron uses Surface to Volume Ratio of Tetrakis Hexahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*Cubical Edge Length of Tetrakis Hexahedron
  • Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5))
  • Pyramidal Edge Length of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/(2*sqrt(2))
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