Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
le(Pyramid) = 3/4*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
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.
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
le(Pyramid) = 3/4*sqrt(TSA/(3*sqrt(5))) --> 3/4*sqrt(670/(3*sqrt(5)))
Evaluating ... ...
le(Pyramid) = 7.49541245927682
STEP 3: Convert Result to Output's Unit
7.49541245927682 Meter --> No Conversion Required
FINAL ANSWER
7.49541245927682 7.495412 Meter <-- Pyramidal Edge Length of Tetrakis Hexahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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7 Pyramidal Edge Length of Tetrakis Hexahedron Calculators

Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area
Go Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
Pyramidal Edge Length of Tetrakis Hexahedron given Surface to Volume Ratio
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
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
Go Pyramidal Edge Length of Tetrakis Hexahedron = (5*Insphere Radius of Tetrakis Hexahedron)/(2*sqrt(5))
Pyramidal Edge Length of Tetrakis Hexahedron given Volume
Go Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
Pyramidal Edge Length of Tetrakis Hexahedron
Go Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*Cubical Edge Length of Tetrakis Hexahedron
Pyramidal Edge Length of Tetrakis Hexahedron given Height
Go Pyramidal Edge Length of Tetrakis Hexahedron = Height of Tetrakis Hexahedron/2

Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area Formula

Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))
le(Pyramid) = 3/4*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 Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area?

Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area calculator uses Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5))) to calculate the Pyramidal Edge Length of Tetrakis Hexahedron, Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using total surface area 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 Total Surface Area using this online calculator? To use this online calculator for Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area, enter Total Surface Area of Tetrakis Hexahedron (TSA) and hit the calculate button. Here is how the Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area calculation can be explained with given input values -> 7.495412 = 3/4*sqrt(670/(3*sqrt(5))).

FAQ

What is Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area?
Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using total surface area of Tetrakis Hexahedron and is represented as le(Pyramid) = 3/4*sqrt(TSA/(3*sqrt(5))) or Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*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 Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area?
Pyramidal Edge Length of Tetrakis Hexahedron given Total Surface Area formula is defined as the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron, calculated using total surface area of Tetrakis Hexahedron is calculated using Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5))). To calculate Pyramidal Edge Length 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 Pyramidal Edge Length of Tetrakis Hexahedron?
In this formula, Pyramidal Edge Length 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 -
  • Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*Cubical Edge Length of Tetrakis Hexahedron
  • Pyramidal Edge Length of Tetrakis Hexahedron = (3*sqrt(5))/(2*Surface to Volume Ratio 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))
  • Pyramidal Edge Length of Tetrakis Hexahedron = 3/4*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
  • Pyramidal Edge Length of Tetrakis Hexahedron = Height of Tetrakis Hexahedron/2
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