Perimeter of Icosahedron given Volume Calculator

✖Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.ⓘ Perimeter of Icosahedron given Volume [P_Face]

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Perimeter of Icosahedron given Volume

Formula

`"P"_{"Face"} = 30*((12*"V")/(5*(3+sqrt(5))))^(1/3)`

Example

`"300.8367m"=30*((12*"2200m³")/(5*(3+sqrt(5))))^(1/3)`

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Perimeter of Icosahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
P_Face = 30*((12*V)/(5*(3+sqrt(5))))^(1/3)
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

Face Perimeter of Icosahedron - (Measured in Meter) - Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.
Volume of Icosahedron - (Measured in Cubic Meter) - Volume of Icosahedron is the total quantity of three dimensional space enclosed by the surface of the Icosahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Icosahedron: 2200 Cubic Meter --> 2200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Face = 30*((12*V)/(5*(3+sqrt(5))))^(1/3) --> 30*((12*2200)/(5*(3+sqrt(5))))^(1/3)

Evaluating ... ...

P_Face = 300.836691292934

STEP 3: Convert Result to Output's Unit

300.836691292934 Meter --> No Conversion Required

FINAL ANSWER

300.836691292934 ≈ 300.8367 Meter <-- Face Perimeter of Icosahedron

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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< 11 Perimeter of Icosahedron Calculators

Perimeter of Icosahedron given Surface to Volume Ratio

Go Perimeter of Icosahedron = (360*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)

Perimeter of Icosahedron given Circumsphere Radius

Go Perimeter of Icosahedron = (120*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))

Perimeter of Icosahedron given Lateral Surface Area

Go Perimeter of Icosahedron = 30*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3)))

Perimeter of Icosahedron given Insphere Radius

Go Perimeter of Icosahedron = (360*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))

Perimeter of Icosahedron given Space Diagonal

Go Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5))))

Perimeter of Icosahedron given Total Surface Area

Go Perimeter of Icosahedron = 30*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))

Perimeter of Icosahedron given Face Area

Go Perimeter of Icosahedron = 30*sqrt((4*Face Area of Icosahedron)/sqrt(3))

Perimeter of Icosahedron given Volume

Go Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)

Perimeter of Icosahedron given Midsphere Radius

Go Perimeter of Icosahedron = (120*Midsphere Radius of Icosahedron)/(1+sqrt(5))

Perimeter of Icosahedron given Face Perimeter

Go Perimeter of Icosahedron = 10*Face Perimeter of Icosahedron

Perimeter of Icosahedron

Go Perimeter of Icosahedron = 30*Edge Length of Icosahedron

< 6 Perimeter of Icosahedron Calculators

Face Perimeter of Icosahedron given Circumsphere Radius

Go Face Perimeter of Icosahedron = (12*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))

Perimeter of Icosahedron given Space Diagonal

Go Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5))))

Perimeter of Icosahedron given Volume

Go Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)

Face Perimeter of Icosahedron given Volume

Go Face Perimeter of Icosahedron = 3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)

Face Perimeter of Icosahedron

Go Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron

Perimeter of Icosahedron

Go Perimeter of Icosahedron = 30*Edge Length of Icosahedron

Perimeter of Icosahedron given Volume Formula

Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
P_Face = 30*((12*V)/(5*(3+sqrt(5))))^(1/3)

What is an Icosahedron?

An Icosahedron is a symmetric and closed three dimensional shape with 20 identical equilateral triangular faces. It is a Platonic solid, which has 20 faces, 12 vertices and 30 edges. At each vertex, five equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Perimeter of Icosahedron given Volume?

Perimeter of Icosahedron given Volume calculator uses Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3) to calculate the Face Perimeter of Icosahedron, The Perimeter of Icosahedron given Volume formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the volume of the Icosahedron. Face Perimeter of Icosahedron is denoted by P_Face symbol.

How to calculate Perimeter of Icosahedron given Volume using this online calculator? To use this online calculator for Perimeter of Icosahedron given Volume, enter Volume of Icosahedron (V) and hit the calculate button. Here is how the Perimeter of Icosahedron given Volume calculation can be explained with given input values -> 300.8367 = 30*((12*2200)/(5*(3+sqrt(5))))^(1/3).

FAQ

What is Perimeter of Icosahedron given Volume?

The Perimeter of Icosahedron given Volume formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the volume of the Icosahedron and is represented as P_Face = 30*((12*V)/(5*(3+sqrt(5))))^(1/3) or Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3). Volume of Icosahedron is the total quantity of three dimensional space enclosed by the surface of the Icosahedron.

How to calculate Perimeter of Icosahedron given Volume?

The Perimeter of Icosahedron given Volume formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the volume of the Icosahedron is calculated using Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3). To calculate Perimeter of Icosahedron given Volume, you need Volume of Icosahedron (V). With our tool, you need to enter the respective value for Volume of 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 Face Perimeter of Icosahedron?

In this formula, Face Perimeter of Icosahedron uses Volume of Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Face Perimeter of Icosahedron = (12*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Face Perimeter of Icosahedron = 3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron

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