Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length Calculator

✖Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.ⓘ Mid Ridge Length of Great Icosahedron [l_Ridge(Mid)]

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✖Surface to Volume Ratio of Great Icosahedron is the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron.ⓘ Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length [R_A/V]

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Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*Mid Ridge Length of Great Icosahedron)
R_A/V = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*l_Ridge(Mid))
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 Great Icosahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Great Icosahedron is the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron.
Mid Ridge Length of Great Icosahedron - (Measured in Meter) - Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.

STEP 1: Convert Input(s) to Base Unit

Mid Ridge Length of Great Icosahedron: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*l_Ridge(Mid)) --> (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*16)

Evaluating ... ...

R_A/V = 0.649519052838329

STEP 3: Convert Result to Output's Unit

0.649519052838329 1 per Meter --> No Conversion Required

FINAL ANSWER

0.649519052838329 ≈ 0.649519 1 per Meter <-- Surface to Volume Ratio of Great Icosahedron

(Calculation completed in 00.007 seconds)

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Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Surface to Volume Ratio of Great Icosahedron Calculators

Surface to Volume Ratio of Great Icosahedron given Long Ridge Length

LaTeX Go Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(2)*(5+(3*sqrt(5))))/(10*Long Ridge Length of Great Icosahedron)

Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length

LaTeX Go Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*Mid Ridge Length of Great Icosahedron)

Surface to Volume Ratio of Great Icosahedron given Short Ridge Length

LaTeX Go Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*sqrt(10)/(5*Short Ridge Length of Great Icosahedron)

Surface to Volume Ratio of Great Icosahedron

LaTeX Go Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Edge Length of Great Icosahedron)

Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length Formula

LaTeX Go

What is Great Icosahedron?

The Great Icosahedron can be constructed from an icosahedron with unit edge lengths by taking the 20 sets of vertices that are mutually spaced by a distance phi, the golden ratio. The solid therefore consists of 20 equilateral triangles. The symmetry of their arrangement is such that the resulting solid contains 12 pentagrams.

How to Calculate Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length?

Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length calculator uses Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*Mid Ridge Length of Great Icosahedron) to calculate the Surface to Volume Ratio of Great Icosahedron, Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length formula is defined as the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron, calculated using mid ridge length. Surface to Volume Ratio of Great Icosahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length using this online calculator? To use this online calculator for Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length, enter Mid Ridge Length of Great Icosahedron (l_Ridge(Mid)) and hit the calculate button. Here is how the Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length calculation can be explained with given input values -> 0.649519 = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*16).

FAQ

What is Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length?

Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length formula is defined as the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron, calculated using mid ridge length and is represented as R_A/V = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*l_Ridge(Mid)) or Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*Mid Ridge Length of Great Icosahedron). Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.

How to calculate Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length?

Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length formula is defined as the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron, calculated using mid ridge length is calculated using Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*Mid Ridge Length of Great Icosahedron). To calculate Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length, you need Mid Ridge Length of Great Icosahedron (l_Ridge(Mid)). With our tool, you need to enter the respective value for Mid Ridge Length of Great 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 Great Icosahedron?

In this formula, Surface to Volume Ratio of Great Icosahedron uses Mid Ridge Length of Great Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Edge Length of Great Icosahedron)
Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(2)*(5+(3*sqrt(5))))/(10*Long Ridge Length of Great Icosahedron)
Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*sqrt(10)/(5*Short Ridge Length of Great Icosahedron)

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