## Perimeter of Dodecahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Dodecahedron = 30*Edge Length of Dodecahedron
P = 30*le
This formula uses 2 Variables
Variables Used
Perimeter of Dodecahedron - (Measured in Meter) - Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.
Edge Length of Dodecahedron - (Measured in Meter) - Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Dodecahedron: 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 Dodecahedron
(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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## <Perimeter of Dodecahedron Calculators

Perimeter of Dodecahedron given Face Area
​ Go Perimeter of Dodecahedron = 30*sqrt((12*Face Area of Dodecahedron)/(3*sqrt(25+(10*sqrt(5)))))
Perimeter of Dodecahedron given Circumsphere Radius
​ Go Perimeter of Dodecahedron = (120*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Perimeter of Dodecahedron given Face Diagonal
​ Go Perimeter of Dodecahedron = (60*Face Diagonal of Dodecahedron)/(1+sqrt(5))
Perimeter of Dodecahedron
​ Go Perimeter of Dodecahedron = 30*Edge Length of Dodecahedron

## <Perimeter of Dodecahedron Calculators

Face Perimeter of Dodecahedron given Face Area
​ Go Face Perimeter of Dodecahedron = 5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5)))))
Perimeter of Dodecahedron given Circumsphere Radius
​ Go Perimeter of Dodecahedron = (120*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Face Perimeter of Dodecahedron
​ Go Face Perimeter of Dodecahedron = 5*Edge Length of Dodecahedron
Perimeter of Dodecahedron
​ Go Perimeter of Dodecahedron = 30*Edge Length of Dodecahedron

## Perimeter of Dodecahedron Formula

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

## What is a Dodecahedron?

A Dodecahedron is a symmetric and closed three dimensional shape with 12 identical pentagonal faces. It is a Platonic solid, which has 12 faces, 20 vertices and 30 edges. At each vertex, three pentagonal faces meet and at each edge, two pentagonal faces meet. Out of all the five Platonic solids with identical edge length, Dodecahedron will have the highest value of volume and surface area.

## 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 Dodecahedron?

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

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

### FAQ

What is Perimeter of Dodecahedron?
The Perimeter of Dodecahedron formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is represented as P = 30*le or Perimeter of Dodecahedron = 30*Edge Length of Dodecahedron. Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.
How to calculate Perimeter of Dodecahedron?
The Perimeter of Dodecahedron formula is defined as the sum of the total distance around all the edges of the Dodecahedron is calculated using Perimeter of Dodecahedron = 30*Edge Length of Dodecahedron. To calculate Perimeter of Dodecahedron, you need Edge Length of Dodecahedron (le). With our tool, you need to enter the respective value for Edge Length of Dodecahedron 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 Dodecahedron?
In this formula, Perimeter of Dodecahedron uses Edge Length of Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Perimeter of Dodecahedron = (120*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
• Perimeter of Dodecahedron = 30*sqrt((12*Face Area of Dodecahedron)/(3*sqrt(25+(10*sqrt(5)))))
• Perimeter of Dodecahedron = (60*Face Diagonal of Dodecahedron)/(1+sqrt(5))
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