# Program for Surface area of Dodecahedron

Given the edge of the dodecahedron calculate its surface area. Surface area is the amount of space that all the faces of the shape takes up.

**Formula: **

Examples:

Input : 3 Output : 185.812 Input : 7 Output : 1011.64

A ** dodecahedron **is a 3-dimensional figure made up of 12 faces, or flat sides. All of the faces are pentagons of the same size.The word ‘dodecahedron’ comes from the Greek words dodeca (‘twelve’) and hedron (‘faces’). Every shape has properties and characteristics.So has dodecahedron

- 12 equal pentagonal faces
- 20 vertices
- 30 edges

where pentagon is a 2-dimensional shape with 5 straight sides and 5 vertices. So, a dodecahedron has 12 of these flat, equal pentagonal faces.So one can think dodecahedron as a 12 faced dice(Usually not seen) but can be in a Battleball board game.

## C++

`// CPP program to calculate ` `// surface area of dodecahedron ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// utility Function ` `double` `area_of_dodecahedron(` `int` `side) ` `{ ` ` ` `return` `((3 * ` `sqrt` `(25 + 10 * (` `sqrt` `(5)))) ` ` ` `* (` `pow` `(side, 2))) ; ` `} ` ` ` `// Driver Function ` `int` `main() ` `{ ` ` ` `int` `side = 3; ` ` ` ` ` `cout<< ` `"Surface area of dodecahedron = "` ` ` `<< area_of_dodecahedron(side); ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`//Java program to calculate ` `// surface area of dodecahedron ` ` ` `class` `GFG ` `{ ` ` ` ` ` `// Utility Function ` ` ` `static` `double` `area_of_dodecahedron(` `int` `side) ` ` ` `{ ` ` ` `return` `((` `3` `* Math.sqrt(` `25` `+ ` `10` `* (Math.sqrt(` `5` `)))) ` ` ` `* (Math.pow(side, ` `2` `))) ; ` ` ` `} ` ` ` ` ` `// Driver Function ` ` ` `public` `static` `void` `main (String[] args) ` ` ` `{ ` ` ` `int` `side = ` `3` `; ` ` ` `System.out.println(` `"Surface area of dodecahedron ="` ` ` `+ area_of_dodecahedron(side)); ` ` ` `} ` ` ` `} ` ` ` `// This code is contributed by Azkia Anam. ` |

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## Python3

`# Python program to calculate ` `# surface area of dodecahedron ` `import` `math ` ` ` `# utility Function ` `def` `area_of_dodecahedron(side): ` ` ` ` ` `return` `((` `3` `*` `math.sqrt(` `25` `+` `10` `*` `(math.sqrt(` `5` `))))` `*` `(math.` `pow` `(side, ` `2` `))) ` ` ` `# Driver Function ` `side ` `=` `3` `print` `(` `"Surface area of dodecahedron = "` `, ` ` ` `round` `(area_of_dodecahedron(side), ` `3` `)) ` ` ` `# This code is contributed ` `# by Azkia Anam. ` |

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## C#

`//C# program to calculate ` `// surface area of dodecahedron ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` ` ` `// Utility Function ` ` ` `static` `float` `area_of_dodecahedron(` `int` `side) ` ` ` `{ ` ` ` `return` `(` `float` `)((3 * Math.Sqrt(25 + 10 * (Math.Sqrt(5)))) ` ` ` `* (Math.Pow(side, 2))) ; ` ` ` `} ` ` ` ` ` `// Driver Function ` ` ` `public` `static` `void` `Main () ` ` ` `{ ` ` ` `int` `side = 3; ` ` ` `Console.WriteLine(` `"Surface area of dodecahedron ="` ` ` `+ area_of_dodecahedron(side)); ` ` ` `} ` ` ` `} ` ` ` `// This code is contributed by vt_m. ` |

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## PHP

`<?php ` `// PHP program to calculate ` `// surface area of dodecahedron ` ` ` `// utility Function ` `function` `area_of_dodecahedron( ` `$side` `) ` `{ ` ` ` `return` `((3 * sqrt(25 + 10 * (sqrt(5)))) ` ` ` `* (pow(` `$side` `, 2))) ; ` `} ` ` ` `// Driver Code ` `$side` `= 3; ` ` ` `echo` `(` `"Surface area of dodecahedron = "` `); ` `echo` `(area_of_dodecahedron(` `$side` `)); ` ` ` `// This code is contributed by vt_m. ` `?> ` |

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Output:

Surface area of dodecahedron = 185.812

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