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: $\mathbf{A=3\sqrt{25+10\sqrt{5}}\hspace{2 mm} a^{2}}$
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.

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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; 
} 

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

<?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. 
?> 

Output:

Surface area of dodecahedron = 185.812

My Personal Notes

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

C++

Java

Python3

C#

PHP

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