Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio Calculator

✖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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✖The Total Surface Area of Triakis Icosahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron.ⓘ Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio [TSA]

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Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio

Formula

`"TSA" = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*"R"_{"A/V"}))^2)`

Example

`"499.7779m²"=(15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*"0.5m⁻¹"))^2)`

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Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron))^2)
TSA = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*R_A/V))^2)
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

Total Surface Area of Triakis Icosahedron - (Measured in Square Meter) - The Total Surface Area of Triakis Icosahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron.
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.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Triakis Icosahedron: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*R_A/V))^2) --> (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*0.5))^2)

Evaluating ... ...

TSA = 499.777880007178

STEP 3: Convert Result to Output's Unit

499.777880007178 Square Meter --> No Conversion Required

FINAL ANSWER

499.777880007178 ≈ 499.7779 Square Meter <-- Total Surface Area of Triakis Icosahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 6 Total Surface Area of Triakis Icosahedron Calculators

Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio

Go Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron))^2)

Total Surface Area of Triakis Icosahedron given Insphere Radius

Go Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))^2)

Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length

Go Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^2)

Total Surface Area of Triakis Icosahedron given Volume

Go Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(2/3))

Total Surface Area of Triakis Icosahedron given Midsphere Radius

Go Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^2)

Total Surface Area of Triakis Icosahedron

Go Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*((Icosahedral Edge Length of Triakis Icosahedron)^2)

Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio 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 Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio?

Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio calculator uses Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron))^2) to calculate the Total Surface Area of Triakis Icosahedron, Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron, calculated using surface to volume ratio of Triakis Icosahedron. Total Surface Area of Triakis Icosahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Triakis Icosahedron (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio calculation can be explained with given input values -> 499.7779 = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*0.5))^2).

FAQ

What is Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio?

Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron, calculated using surface to volume ratio of Triakis Icosahedron and is represented as TSA = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*R_A/V))^2) or Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron))^2). Surface to Volume Ratio of Triakis Icosahedron is what part of or fraction of total volume of Triakis Icosahedron is the total surface area.

How to calculate Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio?

Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron, calculated using surface to volume ratio of Triakis Icosahedron is calculated using Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron))^2). To calculate Total Surface Area of Triakis Icosahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Triakis Icosahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Total Surface Area of Triakis Icosahedron?

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

Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*((Icosahedral Edge Length of Triakis Icosahedron)^2)
Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^2)
Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(2/3))
Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^2)
Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))^2)

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