# Program for Surface area of Dodecahedron

• Difficulty Level : Hard
• Last Updated : 07 Aug, 2022

Given the edge of the dodecahedron calculate its surface area. Surface area is the amount of space that all the faces of the shape take 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 of 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 Functiondouble area_of_dodecahedron(int side){    return ((3 * sqrt(25 + 10 * (sqrt(5))))                        * (pow(side, 2))) ;} // Driver Functionint 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 dodecahedronimport math # utility Functiondef area_of_dodecahedron(side):     return ((3 * math.sqrt(25 + 10 * (math.sqrt(5))))* (math.pow(side, 2))) # Driver Functionside = 3print("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 dodecahedronusing 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

 

## Javascript

 

Output:

Surface area of dodecahedron = 185.812

Time complexity: O(logn) as using inbuilt pow function

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