Surface to Volume Ratio of Rhombic Triacontahedron Calculator

✖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 [l_e]

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✖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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Surface to Volume Ratio of Rhombic Triacontahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Rhombic Triacontahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (3*sqrt(5))/(l_e*sqrt(5+(2*sqrt(5)))) --> (3*sqrt(5))/(10*sqrt(5+(2*sqrt(5))))

Evaluating ... ...

R_A/V = 0.217962758401608

STEP 3: Convert Result to Output's Unit

0.217962758401608 1 per Meter --> No Conversion Required

FINAL ANSWER

0.217962758401608 ≈ 0.217963 1 per Meter <-- Surface to Volume Ratio 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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< Surface to Volume Ratio of Rhombic Triacontahedron Calculators

Surface to Volume Ratio of Rhombic Triacontahedron

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

Surface to Volume Ratio of Rhombic Triacontahedron Formula

LaTeX Go

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

Surface to Volume Ratio of Rhombic Triacontahedron calculator uses Surface to Volume Ratio of Rhombic Triacontahedron = (3*sqrt(5))/(Edge Length of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5)))) to calculate the Surface to Volume Ratio of Rhombic Triacontahedron, Surface to Volume Ratio of Rhombic Triacontahedron formula is defined as 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 is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Rhombic Triacontahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Rhombic Triacontahedron, enter Edge Length of Rhombic Triacontahedron (l_e) and hit the calculate button. Here is how the Surface to Volume Ratio of Rhombic Triacontahedron calculation can be explained with given input values -> 0.217963 = (3*sqrt(5))/(10*sqrt(5+(2*sqrt(5)))).

FAQ

What is Surface to Volume Ratio of Rhombic Triacontahedron?

Surface to Volume Ratio of Rhombic Triacontahedron formula is defined as the numerical ratio of the total surface area of the Rhombic Triacontahedron to the volume of the Rhombic Triacontahedron and is represented as R_A/V = (3*sqrt(5))/(l_e*sqrt(5+(2*sqrt(5)))) or Surface to Volume Ratio of Rhombic Triacontahedron = (3*sqrt(5))/(Edge Length of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5)))). 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.

How to calculate Surface to Volume Ratio of Rhombic Triacontahedron?

Surface to Volume Ratio of Rhombic Triacontahedron formula is defined as the numerical ratio of the total surface area of the Rhombic Triacontahedron to the volume of the Rhombic Triacontahedron is calculated using Surface to Volume Ratio of Rhombic Triacontahedron = (3*sqrt(5))/(Edge Length of Rhombic Triacontahedron*sqrt(5+(2*sqrt(5)))). To calculate Surface to Volume Ratio of Rhombic Triacontahedron, you need Edge Length of Rhombic Triacontahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Rhombic Triacontahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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