## Edge Length of Dodecahedron given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Dodecahedron = Perimeter of Dodecahedron/30
le = P/30
This formula uses 2 Variables
Variables Used
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.
Perimeter of Dodecahedron - (Measured in Meter) - Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Dodecahedron: 300 Meter --> 300 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = P/30 --> 300/30
Evaluating ... ...
le = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
10 Meter <-- Edge Length of Dodecahedron
(Calculation completed in 00.000 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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## < 12 Edge Length of Dodecahedron Calculators

Edge Length of Dodecahedron given Surface to Volume Ratio
Edge Length of Dodecahedron = (12*(sqrt(25+10*sqrt(5))))/(Surface to Volume Ratio of Dodecahedron*(15+7*sqrt(5)))
Edge Length of Dodecahedron given Lateral Surface Area
Edge Length of Dodecahedron = sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+10*sqrt(5))))
Edge Length of Dodecahedron given Total Surface Area
Edge Length of Dodecahedron = sqrt(Total Surface Area of Dodecahedron/(3*(sqrt(25+(10*sqrt(5))))))
Edge Length of Dodecahedron given Face Area
Edge Length of Dodecahedron = sqrt((12*Face Area of Dodecahedron)/(3*sqrt(25+10*sqrt(5))))
Edge Length of Dodecahedron given Circumsphere Radius
Edge Length of Dodecahedron = (4*Circumsphere Radius of Dodecahedron)/((sqrt(3))*(1+sqrt(5)))
Edge Length of Dodecahedron given Insphere Radius
Edge Length of Dodecahedron = 2*Insphere Radius of Dodecahedron/sqrt((25+11*sqrt(5))/10)
Edge Length of Dodecahedron given Space Diagonal
Edge Length of Dodecahedron = (2*Space Diagonal of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Edge Length of Dodecahedron given Volume
Edge Length of Dodecahedron = (((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3))
Edge Length of Dodecahedron given Midsphere Radius
Edge Length of Dodecahedron = 4*Midsphere Radius of Dodecahedron/(3+sqrt(5))
Edge Length of Dodecahedron given Face Diagonal
Edge Length of Dodecahedron = (2*Face Diagonal of Dodecahedron)/(1+sqrt(5))
Edge Length of Dodecahedron given Face Perimeter
Edge Length of Dodecahedron = Face Perimeter of Dodecahedron/5
Edge Length of Dodecahedron given Perimeter
Edge Length of Dodecahedron = Perimeter of Dodecahedron/30

## Edge Length of Dodecahedron given Perimeter Formula

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

## 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 Edge Length of Dodecahedron given Perimeter?

Edge Length of Dodecahedron given Perimeter calculator uses Edge Length of Dodecahedron = Perimeter of Dodecahedron/30 to calculate the Edge Length of Dodecahedron, The Edge Length of Dodecahedron given Perimeter formula is defined as the length of any edge of the Dodecahedron, and calculated using the perimeter of the Dodecahedron. Edge Length of Dodecahedron is denoted by le symbol.

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

### FAQ

What is Edge Length of Dodecahedron given Perimeter?
The Edge Length of Dodecahedron given Perimeter formula is defined as the length of any edge of the Dodecahedron, and calculated using the perimeter of the Dodecahedron and is represented as le = P/30 or Edge Length of Dodecahedron = Perimeter of Dodecahedron/30. Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.
How to calculate Edge Length of Dodecahedron given Perimeter?
The Edge Length of Dodecahedron given Perimeter formula is defined as the length of any edge of the Dodecahedron, and calculated using the perimeter of the Dodecahedron is calculated using Edge Length of Dodecahedron = Perimeter of Dodecahedron/30. To calculate Edge Length of Dodecahedron given Perimeter, you need Perimeter of Dodecahedron (P). With our tool, you need to enter the respective value for Perimeter 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 Edge Length of Dodecahedron?
In this formula, Edge Length of Dodecahedron uses Perimeter of Dodecahedron. We can use 11 other way(s) to calculate the same, which is/are as follows -
• Edge Length of Dodecahedron = (4*Circumsphere Radius of Dodecahedron)/((sqrt(3))*(1+sqrt(5)))
• Edge Length of Dodecahedron = sqrt(Total Surface Area of Dodecahedron/(3*(sqrt(25+(10*sqrt(5))))))
• Edge Length of Dodecahedron = (((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3))
• Edge Length of Dodecahedron = sqrt((12*Face Area of Dodecahedron)/(3*sqrt(25+10*sqrt(5))))
• Edge Length of Dodecahedron = 2*Insphere Radius of Dodecahedron/sqrt((25+11*sqrt(5))/10)
• Edge Length of Dodecahedron = 4*Midsphere Radius of Dodecahedron/(3+sqrt(5))
• Edge Length of Dodecahedron = (12*(sqrt(25+10*sqrt(5))))/(Surface to Volume Ratio of Dodecahedron*(15+7*sqrt(5)))
• Edge Length of Dodecahedron = Face Perimeter of Dodecahedron/5
• Edge Length of Dodecahedron = (2*Face Diagonal of Dodecahedron)/(1+sqrt(5))
• Edge Length of Dodecahedron = (2*Space Diagonal of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
• Edge Length of Dodecahedron = sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+10*sqrt(5))))
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