# 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  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;  }

## 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.

## 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.

## 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.

## PHP

 

Output:

Surface area of dodecahedron = 185.812


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