Surface to Volume Ratio of Triakis Icosahedron Calculator

✖Icosahedral Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of icosahedron of Triakis Icosahedron.ⓘ Icosahedral Edge Length of Triakis Icosahedron [l_{e(Icosahedron)}]

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✖Surface to Volume Ratio of Triakis Icosahedron is what part of or fraction of total volume of Triakis Icosahedron is the total surface area.ⓘ Surface to Volume Ratio of Triakis Icosahedron [R_A/V]

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Formula

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Surface to Volume Ratio of Triakis Icosahedron

Formula

`"R"_{"A/V"} = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*"l"_{"e(Icosahedron)"}))`

Example

`"0.47024m⁻¹"=((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*"8m"))`

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Surface to Volume Ratio of Triakis Icosahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Icosahedral Edge Length of Triakis Icosahedron))
R_A/V = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*l_{e(Icosahedron)}))
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

Surface to Volume Ratio of Triakis Icosahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Triakis Icosahedron is what part of or fraction of total volume of Triakis Icosahedron is the total surface area.
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.

STEP 1: Convert Input(s) to Base Unit

Icosahedral Edge Length of Triakis Icosahedron: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*l_{e(Icosahedron)})) --> ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*8))

Evaluating ... ...

R_A/V = 0.470239610680851

STEP 3: Convert Result to Output's Unit

0.470239610680851 1 per Meter --> No Conversion Required

FINAL ANSWER

0.470239610680851 ≈ 0.47024 1 per Meter <-- Surface to Volume Ratio of Triakis Icosahedron

(Calculation completed in 00.004 seconds)

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Credits

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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< 6 Surface to Volume Ratio of Triakis Icosahedron Calculators

Surface to Volume Ratio of Triakis Icosahedron given Total Surface Area

Go Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*(sqrt((15*(sqrt(109-(30*sqrt(5)))))/(11*Total Surface Area of Triakis Icosahedron)))

Surface to Volume Ratio of Triakis Icosahedron given Insphere Radius

Go Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*((sqrt((10*(33+(13*sqrt(5))))/61))/(4*Insphere Radius of Triakis Icosahedron))

Surface to Volume Ratio of Triakis Icosahedron given Pyramidal Edge Length

Go Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*((15-sqrt(5))/(22*Pyramidal Edge Length of Triakis Icosahedron))

Surface to Volume Ratio of Triakis Icosahedron given Volume

Go Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*(((5*(5+(7*sqrt(5))))/(44*Volume of Triakis Icosahedron))^(1/3))

Surface to Volume Ratio of Triakis Icosahedron given Midsphere Radius

Go Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*((1+sqrt(5))/(4*Midsphere Radius of Triakis Icosahedron))

Surface to Volume Ratio of Triakis Icosahedron

Go Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Icosahedral Edge Length of Triakis Icosahedron))

Surface to Volume Ratio of Triakis Icosahedron Formula

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 Surface to Volume Ratio of Triakis Icosahedron?

Surface to Volume Ratio of Triakis Icosahedron calculator uses Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Icosahedral Edge Length of Triakis Icosahedron)) to calculate the Surface to Volume Ratio of Triakis Icosahedron, Surface to Volume Ratio of Triakis Icosahedron formula is defined as what part or what fraction of total volume of Triakis Icosahedron is the total surface area. Surface to Volume Ratio of Triakis Icosahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Triakis Icosahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Triakis Icosahedron, enter Icosahedral Edge Length of Triakis Icosahedron (l_{e(Icosahedron)}) and hit the calculate button. Here is how the Surface to Volume Ratio of Triakis Icosahedron calculation can be explained with given input values -> 0.47024 = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*8)).

FAQ

What is Surface to Volume Ratio of Triakis Icosahedron?

Surface to Volume Ratio of Triakis Icosahedron formula is defined as what part or what fraction of total volume of Triakis Icosahedron is the total surface area and is represented as R_A/V = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*l_{e(Icosahedron)})) or Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Icosahedral Edge Length of Triakis Icosahedron)). Icosahedral Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of icosahedron of Triakis Icosahedron.

How to calculate Surface to Volume Ratio of Triakis Icosahedron?

Surface to Volume Ratio of Triakis Icosahedron formula is defined as what part or what fraction of total volume of Triakis Icosahedron is the total surface area is calculated using Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Icosahedral Edge Length of Triakis Icosahedron)). To calculate Surface to Volume Ratio of Triakis Icosahedron, you need Icosahedral Edge Length of Triakis Icosahedron (l_{e(Icosahedron)}). With our tool, you need to enter the respective value for Icosahedral Edge Length 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 Surface to Volume Ratio of Triakis Icosahedron?

In this formula, Surface to Volume Ratio of Triakis Icosahedron uses Icosahedral Edge Length of Triakis Icosahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*((15-sqrt(5))/(22*Pyramidal Edge Length of Triakis Icosahedron))
Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*(sqrt((15*(sqrt(109-(30*sqrt(5)))))/(11*Total Surface Area of Triakis Icosahedron)))
Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*(((5*(5+(7*sqrt(5))))/(44*Volume of Triakis Icosahedron))^(1/3))
Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*((1+sqrt(5))/(4*Midsphere Radius of Triakis Icosahedron))
Surface to Volume Ratio of Triakis Icosahedron = ((12*(sqrt(109-(30*sqrt(5)))))/(5+(7*sqrt(5))))*((sqrt((10*(33+(13*sqrt(5))))/61))/(4*Insphere Radius of Triakis Icosahedron))

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