Icosahedral Edge Length of Triakis Icosahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Icosahedral Edge Length of Triakis Icosahedron = ((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)
le(Icosahedron) = ((44*V)/(5*(5+(7*sqrt(5)))))^(1/3)
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
Icosahedral Edge Length of Triakis Icosahedron - (Measured in Meter) - Icosahedral Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of icosahedron of Triakis Icosahedron.
Volume of Triakis Icosahedron - (Measured in Cubic Meter) - Volume of Triakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Icosahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Triakis Icosahedron: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Icosahedron) = ((44*V)/(5*(5+(7*sqrt(5)))))^(1/3) --> ((44*1200)/(5*(5+(7*sqrt(5)))))^(1/3)
Evaluating ... ...
le(Icosahedron) = 7.99645071951684
STEP 3: Convert Result to Output's Unit
7.99645071951684 Meter --> No Conversion Required
FINAL ANSWER
7.99645071951684 7.996451 Meter <-- Icosahedral Edge Length of Triakis Icosahedron
(Calculation completed in 00.004 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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Icosahedral Edge Length of Triakis Icosahedron Calculators

Icosahedral Edge Length of Triakis Icosahedron given Total Surface Area
​ LaTeX ​ Go Icosahedral Edge Length of Triakis Icosahedron = sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))
Icosahedral Edge Length of Triakis Icosahedron given Pyramidal Edge Length
​ LaTeX ​ Go Icosahedral Edge Length of Triakis Icosahedron = (22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5))
Icosahedral Edge Length of Triakis Icosahedron given Volume
​ LaTeX ​ Go Icosahedral Edge Length of Triakis Icosahedron = ((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)
Icosahedral Edge Length of Triakis Icosahedron given Midsphere Radius
​ LaTeX ​ Go Icosahedral Edge Length of Triakis Icosahedron = (4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5))

Icosahedral Edge Length of Triakis Icosahedron given Volume Formula

​LaTeX ​Go
Icosahedral Edge Length of Triakis Icosahedron = ((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)
le(Icosahedron) = ((44*V)/(5*(5+(7*sqrt(5)))))^(1/3)

What is Triakis Icosahedron?

The Triakis Icosahedron is a three-dimensional polyhedron created from the dual of the truncated dodecahedron. Because of this, it shares the same full icosahedral symmetry group as the dodecahedron and the truncated dodecahedron. It can also be constructed by adding short triangular pyramids onto the faces of an icosahedron. It has 60 faces, 90 edges, 32 vertices.

How to Calculate Icosahedral Edge Length of Triakis Icosahedron given Volume?

Icosahedral Edge Length of Triakis Icosahedron given Volume calculator uses Icosahedral Edge Length of Triakis Icosahedron = ((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3) to calculate the Icosahedral Edge Length of Triakis Icosahedron, Icosahedral Edge Length of Triakis Icosahedron given Volume formula is defined as a straight line joining two adjacent vertices of icosahedron of Triakis Icosahedron, calculated using volume of Triakis Icosahedron. Icosahedral Edge Length of Triakis Icosahedron is denoted by le(Icosahedron) symbol.

How to calculate Icosahedral Edge Length of Triakis Icosahedron given Volume using this online calculator? To use this online calculator for Icosahedral Edge Length of Triakis Icosahedron given Volume, enter Volume of Triakis Icosahedron (V) and hit the calculate button. Here is how the Icosahedral Edge Length of Triakis Icosahedron given Volume calculation can be explained with given input values -> 7.996451 = ((44*1200)/(5*(5+(7*sqrt(5)))))^(1/3).

FAQ

What is Icosahedral Edge Length of Triakis Icosahedron given Volume?
Icosahedral Edge Length of Triakis Icosahedron given Volume formula is defined as a straight line joining two adjacent vertices of icosahedron of Triakis Icosahedron, calculated using volume of Triakis Icosahedron and is represented as le(Icosahedron) = ((44*V)/(5*(5+(7*sqrt(5)))))^(1/3) or Icosahedral Edge Length of Triakis Icosahedron = ((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3). Volume of Triakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Icosahedron.
How to calculate Icosahedral Edge Length of Triakis Icosahedron given Volume?
Icosahedral Edge Length of Triakis Icosahedron given Volume formula is defined as a straight line joining two adjacent vertices of icosahedron of Triakis Icosahedron, calculated using volume of Triakis Icosahedron is calculated using Icosahedral Edge Length of Triakis Icosahedron = ((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3). To calculate Icosahedral Edge Length of Triakis Icosahedron given Volume, you need Volume of Triakis Icosahedron (V). With our tool, you need to enter the respective value for Volume of Triakis Icosahedron 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 Icosahedral Edge Length of Triakis Icosahedron?
In this formula, Icosahedral Edge Length of Triakis Icosahedron uses Volume of Triakis Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Icosahedral Edge Length of Triakis Icosahedron = (22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5))
  • Icosahedral Edge Length of Triakis Icosahedron = sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))
  • Icosahedral Edge Length of Triakis Icosahedron = (4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5))
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