Programa para Área de superficie de dodecaedro

Dada la arista del dodecaedro, calcule su área superficial. El área de superficie es la cantidad de espacio que ocupan todas las caras de la forma.
Fórmula: 
Ejemplos: 
 

Input : 3
Output : 185.812

Input : 7
Output : 1011.64

Un dodecaedro es una figura tridimensional formada por 12 caras o lados planos. Todas las caras son pentágonos del mismo tamaño. La palabra ‘dodecaedro’ proviene de las palabras griegas dodeca (‘doce’) y edro (‘caras’). Cada forma tiene propiedades y características. También lo ha hecho el dodecaedro 
 

• 12 caras pentagonales iguales
• 20 vértices
• 30 bordes

donde el pentágono es una forma bidimensional con 5 lados rectos y 5 vértices. Entonces, un dodecaedro tiene 12 de estas caras pentagonales planas e iguales. Entonces, uno puede pensar en el dodecaedro como un dado de 12 caras (generalmente no se ve), pero puede estar en un juego de mesa Battleball. 
 

// 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 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.

# 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# 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 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.
?>

<script>
 
// Javascript program to calculate
// surface area of dodecahedron
 
// utility Function
function area_of_dodecahedron( side)
{
    return ((3 * Math.sqrt(25 + 10 * (Math.sqrt(5))))
                        * (Math.pow(side, 2))) ;
}
 
 
    // Driver Code
     
    let side = 3;
     
    document.write("Surface area of dodecahedron = "
    + Math.round(area_of_dodecahedron(side)*1000)/1000);
     
     
</script>

Producción:

Surface area of dodecahedron = 185.812