Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Rhombic Triacontahedron is the numerical ratio of the total surface area of the Rhombic Triacontahedron to the volume of the Rhombic Triacontahedron.ⓘ Surface to Volume Ratio of Rhombic Triacontahedron [R_A/V]

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✖Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.ⓘ Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio [l_e]

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Formula

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Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio

Formula

`"l"_{"e"} = (3*sqrt(5))/("R"_{"A/V"}*sqrt(5+(2*sqrt(5))))`

Example

`"10.89814m"=(3*sqrt(5))/("0.2m⁻¹"*sqrt(5+(2*sqrt(5))))`

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Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Rhombic Triacontahedron = (3*sqrt(5))/(Surface to Volume Ratio of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5))))
l_e = (3*sqrt(5))/(R_A/V*sqrt(5+(2*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

Edge Length of Rhombic Triacontahedron - (Measured in Meter) - Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.
Surface to Volume Ratio of Rhombic Triacontahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombic Triacontahedron is the numerical ratio of the total surface area of the Rhombic Triacontahedron to the volume of the Rhombic Triacontahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Rhombic Triacontahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (3*sqrt(5))/(R_A/V*sqrt(5+(2*sqrt(5)))) --> (3*sqrt(5))/(0.2*sqrt(5+(2*sqrt(5))))

Evaluating ... ...

l_e = 10.8981379200804

STEP 3: Convert Result to Output's Unit

10.8981379200804 Meter --> No Conversion Required

FINAL ANSWER

10.8981379200804 ≈ 10.89814 Meter <-- Edge Length of Rhombic Triacontahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< 5 Edge Length of Rhombic Triacontahedron Calculators

Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio

Go Edge Length of Rhombic Triacontahedron = (3*sqrt(5))/(Surface to Volume Ratio of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5))))

Edge Length of Rhombic Triacontahedron given Volume

Go Edge Length of Rhombic Triacontahedron = ((Volume of Rhombic Triacontahedron)/(4*sqrt(5+(2*sqrt(5)))))^(1/3)

Edge Length of Rhombic Triacontahedron given Insphere Radius

Go Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5)

Edge Length of Rhombic Triacontahedron given Total Surface Area

Go Edge Length of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))

Edge Length of Rhombic Triacontahedron given Midsphere Radius

Go Edge Length of Rhombic Triacontahedron = (5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5))

Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio Formula

Edge Length of Rhombic Triacontahedron = (3*sqrt(5))/(Surface to Volume Ratio of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5))))
l_e = (3*sqrt(5))/(R_A/V*sqrt(5+(2*sqrt(5))))

What is Rhombic Triacontahedron?

In geometry, the Rhombic Triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron.

How to Calculate Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio?

Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio calculator uses Edge Length of Rhombic Triacontahedron = (3*sqrt(5))/(Surface to Volume Ratio of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5)))) to calculate the Edge Length of Rhombic Triacontahedron, Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron, calculated using surface to volume ratio of Rhombic Triacontahedron. Edge Length of Rhombic Triacontahedron is denoted by l_e symbol.

How to calculate Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Rhombic Triacontahedron (R_A/V) and hit the calculate button. Here is how the Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio calculation can be explained with given input values -> 10.89814 = (3*sqrt(5))/(0.2*sqrt(5+(2*sqrt(5)))).

FAQ

What is Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio?

Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron, calculated using surface to volume ratio of Rhombic Triacontahedron and is represented as l_e = (3*sqrt(5))/(R_A/V*sqrt(5+(2*sqrt(5)))) or Edge Length of Rhombic Triacontahedron = (3*sqrt(5))/(Surface to Volume Ratio of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5)))). Surface to Volume Ratio of Rhombic Triacontahedron is the numerical ratio of the total surface area of the Rhombic Triacontahedron to the volume of the Rhombic Triacontahedron.

How to calculate Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio?

Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron, calculated using surface to volume ratio of Rhombic Triacontahedron is calculated using Edge Length of Rhombic Triacontahedron = (3*sqrt(5))/(Surface to Volume Ratio of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5)))). To calculate Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Rhombic Triacontahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Rhombic Triacontahedron 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 Edge Length of Rhombic Triacontahedron?

In this formula, Edge Length of Rhombic Triacontahedron uses Surface to Volume Ratio of Rhombic Triacontahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Edge Length of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))
Edge Length of Rhombic Triacontahedron = ((Volume of Rhombic Triacontahedron)/(4*sqrt(5+(2*sqrt(5)))))^(1/3)
Edge Length of Rhombic Triacontahedron = (5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5))
Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5)

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