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Find surface area of dodecahedron

To find the surface area of a dodecahedron, we need to know the length of its edges or the length of its diagonals.

If we know the length of the edges, we can use the formula:

Surface Area = 3 × √25 + 10 × √5 × a^2, where a is the length of each edge.

Here given code implementation process.

/*
  C Program 
  Find surface area of dodecahedron
*/
#include <stdio.h>

#include <math.h>

//Calculate surface area of dodecahedron by side
void surface_area(double side)
{
  // Formula of dodecahedron surface area 
  // 3 √(25 + 10 √(5)) a²
  // here a is side
  printf("\nGiven Side : %lf", side);
  //Calculate surface of dodecahedron
  double area = ((3 * sqrt(25 + 10 * (sqrt(5)))) * (side * side));
  printf("\nSurface area of dodecahedron : %lf\n", area);
}
int main()
{
  //Simple Case
  surface_area(7);
  surface_area(4);
  surface_area(6.2);
  return 0;
}

Output

Given Side : 7.000000
Surface area of dodecahedron : 1011.640712

Given Side : 4.000000
Surface area of dodecahedron : 330.331661

Given Side : 6.200000
Surface area of dodecahedron : 793.621815
// Java Program
// Find surface area of dodecahedron
class Dodecahedron
{
  //Calculate surface area of dodecahedron by side
  public void surface_area(double side)
  {
    // Formula of dodecahedron surface area 
    // 3 √(25 + 10 √(5)) a²
    // here a is side
    System.out.print("\nGiven Side : " + side);
    //Calculate surface of dodecahedron
    double area = ((3 * Math.sqrt(25 + 10 * (Math.sqrt(5)))) * (Math.pow(side, 2)));
    System.out.print("\nSurface area of dodecahedron : " + area + "\n");
  }
  public static void main(String[] args)
  {
    Dodecahedron obj = new Dodecahedron();
    //Simple Case
    obj.surface_area(7);
    obj.surface_area(4);
    obj.surface_area(6.2);
  }
}

Output

Given Side : 7.0
Surface area of dodecahedron : 1011.6407115463126

Given Side : 4.0
Surface area of dodecahedron : 330.33166091308163

Given Side : 6.2
Surface area of dodecahedron : 793.6218153436787
// C++ Program
// Find surface area of dodecahedron
#include<iostream>
#include<math.h>
using namespace std;
class Dodecahedron
{
  public:
    //Calculate surface area of dodecahedron by side
    void surface_area(double side)
    {
      cout << "\nGiven Side : " << side;
      //Calculate surface of dodecahedron
      double area = ((3 * sqrt(25 + 10 * (sqrt(5)))) * (side * side));
      cout << "\nSurface area of dodecahedron : " << area << "\n";
    }
};
int main()
{
  Dodecahedron obj ;
  //Simple Case
  obj.surface_area(7);
  obj.surface_area(4);
  obj.surface_area(6.2);
  return 0;
}

Output

Given Side : 7
Surface area of dodecahedron : 1011.64

Given Side : 4
Surface area of dodecahedron : 330.332

Given Side : 6.2
Surface area of dodecahedron : 793.622
// C# Program
// Find surface area of dodecahedron
using System;
class Dodecahedron
{
  //Calculate surface area of dodecahedron by side
  public void surface_area(double side)
  {
    Console.Write("\nGiven Side : " + side);
    //Calculate surface of dodecahedron
    double area = ((3 * Math.Sqrt(25 + 10 * (Math.Sqrt(5)))) * (side * side));
    Console.Write("\nSurface area of dodecahedron : " + area + "\n");
  }
  public static void Main(String[] args)
  {
    Dodecahedron obj = new Dodecahedron();
    //Simple Case
    obj.surface_area(7);
    obj.surface_area(4);
    obj.surface_area(6.2);
  }
}

Output

Given Side : 7
Surface area of dodecahedron : 1011.64071154631

Given Side : 4
Surface area of dodecahedron : 330.331660913082

Given Side : 6.2
Surface area of dodecahedron : 793.621815343679
<?php
// Php Program
// Find surface area of dodecahedron
class Dodecahedron
{
  //Calculate surface area of dodecahedron by side
  public  function surface_area($side)
  {
    echo "\nGiven Side : ". $side;
    //Calculate surface of dodecahedron
    $area = ((3 * sqrt(25 + 10 * (sqrt(5)))) * ($side * $side));
    echo "\nSurface area of dodecahedron : ". $area ."\n";
  }
}

function main()
{
  $obj = new Dodecahedron();
  //Simple Case
  $obj->surface_area(7);
  $obj->surface_area(4);
  $obj->surface_area(6.2);
}
main();

Output

Given Side : 7
Surface area of dodecahedron : 1011.6407115463

Given Side : 4
Surface area of dodecahedron : 330.33166091308

Given Side : 6.2
Surface area of dodecahedron : 793.62181534368
// Node Js Program
// Find surface area of dodecahedron
class Dodecahedron
{
  //Calculate surface area of dodecahedron by side
  surface_area(side)
  {
    process.stdout.write("\nGiven Side : " + side);
    //Calculate surface of dodecahedron
    var area = ((3 * Math.sqrt(25 + 10 * (Math.sqrt(5)))) * (side * side));
    process.stdout.write("\nSurface area of dodecahedron : " + area + "\n");
  }
}

function main()
{
  var obj = new Dodecahedron();
  //Simple Case
  obj.surface_area(7);
  obj.surface_area(4);
  obj.surface_area(6.2);
}
main();

Output

Given Side : 7
Surface area of dodecahedron : 1011.6407115463126

Given Side : 4
Surface area of dodecahedron : 330.33166091308163

Given Side : 6.2
Surface area of dodecahedron : 793.6218153436787
#  Python 3 Program
#  Find surface area of dodecahedron

import math

class Dodecahedron :
  # Calculate surface area of dodecahedron by side
  def surface_area(self, side) :
    print("\nGiven Side : ", side, end = "")
    # Calculate surface of dodecahedron
    area = ((3 * math.sqrt(25 + 10 * (math.sqrt(5)))) * (side * side))
    print("\nSurface area of dodecahedron : ", area ,"\n", end = "")
  

def main() :
  obj = Dodecahedron()
  # Simple Case
  obj.surface_area(7)
  obj.surface_area(4)
  obj.surface_area(6.2)

if __name__ == "__main__": main()

Output

Given Side :  7
Surface area of dodecahedron :  1011.6407115463126

Given Side :  4
Surface area of dodecahedron :  330.33166091308163

Given Side :  6.2
Surface area of dodecahedron :  793.6218153436787
#  Ruby Program
#  Find surface area of dodecahedron
class Dodecahedron

  # Calculate surface area of dodecahedron by side
  def surface_area(side)
  
    #  Formula of dodecahedron surface area 
    #  3 √(25 + 10 √(5)) a²
    #  here a is side
    print("\nGiven Side : ", side)
    # Calculate surface of dodecahedron
    area = ((3 * Math.sqrt(25 + 10 * (Math.sqrt(5)))) * (side * side))
    print("\nSurface area of dodecahedron : ", area ,"\n")
  end
end
def main()

  obj = Dodecahedron.new()
  # Simple Case
  obj.surface_area(7)
  obj.surface_area(4)
  obj.surface_area(6.2)
end
main()

Output

Given Side : 7
Surface area of dodecahedron : 1011.6407115463126

Given Side : 4
Surface area of dodecahedron : 330.33166091308163

Given Side : 6.2
Surface area of dodecahedron : 793.6218153436787

// Scala Program
// Find surface area of dodecahedron
class Dodecahedron
{
  //Calculate surface area of dodecahedron by side
  def surface_area(side: Double): Unit = {
    // Formula of dodecahedron surface area 
    // 3 √(25 + 10 √(5)) a²
    // here a is side
    print("\nGiven Side : " + side);
    //Calculate surface of dodecahedron
    var area: Double = ((3 * Math.sqrt(25 + 10 * (Math.sqrt(5)))) * (side * side));
    print("\nSurface area of dodecahedron : " + area + "\n");
  }
}
object Main
{
  def main(args: Array[String]): Unit = {
    var obj: Dodecahedron = new Dodecahedron();
    //Simple Case
    obj.surface_area(7);
    obj.surface_area(4);
    obj.surface_area(6.2);
  }
}

Output

Given Side : 7.0
Surface area of dodecahedron : 1011.6407115463126

Given Side : 4.0
Surface area of dodecahedron : 330.33166091308163

Given Side : 6.2
Surface area of dodecahedron : 793.6218153436787
// Swift Program
// Find surface area of dodecahedron
import Foundation
class Dodecahedron
{
  //Calculate surface area of dodecahedron by side
  func surface_area(_ side: Double)
  {

    // Formula of dodecahedron surface area 
    // 3 √(25 + 10 √(5)) a²
    // here a is side
    print("\nGiven Side : ", side, terminator: "");
    //Calculate surface of dodecahedron
    let area: Double = ((3 * sqrt(25 + 10 * (sqrt(5)))) * (side * side));
    print("\nSurface area of dodecahedron : ", area ,"\n", terminator: "");
  }
}
func main()
{
  let obj: Dodecahedron = Dodecahedron();
  //Simple Case
  obj.surface_area(7);
  obj.surface_area(4);
  obj.surface_area(6.2);
}
main();

Output

Given Side :  7.0
Surface area of dodecahedron :  1011.64071154631

Given Side :  4.0
Surface area of dodecahedron :  330.331660913082

Given Side :  6.2
Surface area of dodecahedron :  793.621815343679
Last updated on by Kalkicode




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