## Perimeter of Icosahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Icosahedron = 30*Edge Length of Icosahedron
P = 30*le
This formula uses 2 Variables
Variables Used
Perimeter of Icosahedron - (Measured in Meter) - Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron.
Edge Length of Icosahedron - (Measured in Meter) - Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Icosahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 30*le --> 30*10
Evaluating ... ...
P = 300
STEP 3: Convert Result to Output's Unit
300 Meter --> No Conversion Required
300 Meter <-- Perimeter of Icosahedron
(Calculation completed in 00.004 seconds)
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## Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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## < 11 Perimeter of Icosahedron Calculators

Perimeter of Icosahedron given Surface to Volume Ratio
Perimeter of Icosahedron = (360*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
Perimeter of Icosahedron given Circumsphere Radius
Perimeter of Icosahedron = (120*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Perimeter of Icosahedron given Lateral Surface Area
Perimeter of Icosahedron = 30*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3)))
Perimeter of Icosahedron given Insphere Radius
Perimeter of Icosahedron = (360*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
Perimeter of Icosahedron given Space Diagonal
Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Perimeter of Icosahedron given Total Surface Area
Perimeter of Icosahedron = 30*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))
Perimeter of Icosahedron given Face Area
Perimeter of Icosahedron = 30*sqrt((4*Face Area of Icosahedron)/sqrt(3))
Perimeter of Icosahedron given Volume
Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Perimeter of Icosahedron given Midsphere Radius
Perimeter of Icosahedron = (120*Midsphere Radius of Icosahedron)/(1+sqrt(5))
Perimeter of Icosahedron given Face Perimeter
Perimeter of Icosahedron = 10*Face Perimeter of Icosahedron
Perimeter of Icosahedron
Perimeter of Icosahedron = 30*Edge Length of Icosahedron

## < 6 Perimeter of Icosahedron Calculators

Face Perimeter of Icosahedron given Circumsphere Radius
Face Perimeter of Icosahedron = (12*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Perimeter of Icosahedron given Space Diagonal
Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Perimeter of Icosahedron given Volume
Face Perimeter of Icosahedron = 30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Face Perimeter of Icosahedron given Volume
Face Perimeter of Icosahedron = 3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Face Perimeter of Icosahedron
Face Perimeter of Icosahedron = 3*Edge Length of Icosahedron
Perimeter of Icosahedron
Perimeter of Icosahedron = 30*Edge Length of Icosahedron

## Perimeter of Icosahedron Formula

Perimeter of Icosahedron = 30*Edge Length of Icosahedron
P = 30*le

## 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?

Perimeter of Icosahedron calculator uses Perimeter of Icosahedron = 30*Edge Length of Icosahedron to calculate the Perimeter of Icosahedron, The Perimeter of Icosahedron formula is defined as the sum of the total distance around all the edges of the Icosahedron. Perimeter of Icosahedron is denoted by P symbol.

How to calculate Perimeter of Icosahedron using this online calculator? To use this online calculator for Perimeter of Icosahedron, enter Edge Length of Icosahedron (le) and hit the calculate button. Here is how the Perimeter of Icosahedron calculation can be explained with given input values -> 300 = 30*10.

### FAQ

What is Perimeter of Icosahedron?
The Perimeter of Icosahedron formula is defined as the sum of the total distance around all the edges of the Icosahedron and is represented as P = 30*le or Perimeter of Icosahedron = 30*Edge Length of Icosahedron. Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron.
How to calculate Perimeter of Icosahedron?
The Perimeter of Icosahedron formula is defined as the sum of the total distance around all the edges of the Icosahedron is calculated using Perimeter of Icosahedron = 30*Edge Length of Icosahedron. To calculate Perimeter of Icosahedron, you need Edge Length of Icosahedron (le). With our tool, you need to enter the respective value for Edge Length 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 Perimeter of Icosahedron?
In this formula, Perimeter of Icosahedron uses Edge Length of Icosahedron. We can use 10 other way(s) to calculate the same, which is/are as follows -
• Perimeter of Icosahedron = (120*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
• Perimeter of Icosahedron = 30*sqrt((4*Face Area of Icosahedron)/sqrt(3))
• Perimeter of Icosahedron = (360*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
• Perimeter of Icosahedron = 30*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3)))
• Perimeter of Icosahedron = (120*Midsphere Radius of Icosahedron)/(1+sqrt(5))
• Perimeter of Icosahedron = 10*Face Perimeter of Icosahedron
• Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5))))
• Perimeter of Icosahedron = (360*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
• Perimeter of Icosahedron = 30*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))
• Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5))))
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