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.

C++

filter_none

edit
close

play_arrow

link
brightness_4
code

// 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;
}

chevron_right


Java

filter_none

edit
close

play_arrow

link
brightness_4
code

//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.

chevron_right


Python3

filter_none

edit
close

play_arrow

link
brightness_4
code

# 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.

chevron_right


C#

filter_none

edit
close

play_arrow

link
brightness_4
code

//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.

chevron_right


PHP

filter_none

edit
close

play_arrow

link
brightness_4
code

<?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.
?>

chevron_right



Output:

Surface area of dodecahedron = 185.812


My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.



Improved By : vt_m



Article Tags :

Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.