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Find volume of Icosahedron

An icosahedron is a polyhedron with 20 equilateral triangular faces, 12 vertices, and 30 edges. To find its volume, we can use the formula:

V = (5/12) × (3 + √5) × a^3

Where "a" is the edge length of the icosahedron.

Here given code implementation process.

//C Program
//Find volume of Icosahedron
#include <stdio.h>

#include <math.h>
 //Calculate volume of Icosahedron by given side
void icosahedron_volume(double side)
{
  //Calculate Formula
  //5/12 (3 + √5)(side³)
  double volume = ((double) 5 / 12) * (3 + sqrt(5)) * (side * side * side);
  //Display the result of icosahedron volume
  printf(" Icosahedron  [ Side : %lf ] ", side);
  printf("\n Volume : %lf\n\n", volume);
}
int main()
{
  //Test Cases  
  icosahedron_volume(4);
  icosahedron_volume(8);
  icosahedron_volume(13.6);
  return 0;
}

Output

 Icosahedron  [ Side : 4.000000 ]
 Volume : 139.628479

 Icosahedron  [ Side : 8.000000 ]
 Volume : 1117.027835

 Icosahedron  [ Side : 13.600000 ]
 Volume : 5487.957754

// Java Program
// Find volume of Icosahedron
class IcosahedronVolume
{
  //Calculate volume of Icosahedron by given side
  public void icosahedron_volume(double side)
  {
    //Calculate Formula
    //5/12 (3 + √5)(side³)
    double volume = ((double) 5 / 12) * (3 + Math.sqrt(5)) * (side * side * side);
    //Display the result of icosahedron volume
    System.out.print(" Icosahedron [ Side : " + side + " ] ");
    System.out.print("\n Volume : " + volume + "\n\n");
  }
  public static void main(String[] args)
  {
    IcosahedronVolume obj = new IcosahedronVolume();
    //Test Cases  
    obj.icosahedron_volume(4);
    obj.icosahedron_volume(8);
    obj.icosahedron_volume(13.6);
  }
}

Output

 Icosahedron [ Side : 4.0 ]
 Volume : 139.6284793999944

 Icosahedron [ Side : 8.0 ]
 Volume : 1117.0278351999552

 Icosahedron [ Side : 13.6 ]
 Volume : 5487.95775433738

// C++ Program
// Find volume of Icosahedron
#include<iostream>
#include <math.h>
using namespace std;
class IcosahedronVolume
{
  public:
    //Calculate volume of Icosahedron by given side
    void icosahedron_volume(double side)
    {
      //Calculate Formula
      //5/12 (3 + √5)(side³)
      double volume = ((double) 5 / 12) *(3 + sqrt(5)) *(side *side *side);
      cout << " Icosahedron [ Side : " << side << " ] ";
      cout << "\n Volume : " << volume << "\n\n";
    }
};
int main()
{
  IcosahedronVolume obj =  IcosahedronVolume();
  //Test Cases  
  obj.icosahedron_volume(4);
  obj.icosahedron_volume(8);
  obj.icosahedron_volume(13.6);
  return 0;
}

Output

 Icosahedron [ Side : 4 ]
 Volume : 139.628

 Icosahedron [ Side : 8 ]
 Volume : 1117.03

 Icosahedron [ Side : 13.6 ]
 Volume : 5487.96

// C# Program
// Find volume of Icosahedron
using System;
class IcosahedronVolume
{
  //Calculate volume of Icosahedron by given side
  public void icosahedron_volume(double side)
  {
    //Calculate Formula
    //5/12 (3 + √5)(side³)
    double volume = ((double) 5 / 12) * (3 + Math.Sqrt(5)) * (side * side * side);
    Console.Write(" Icosahedron [ Side : " + side + " ] ");
    Console.Write("\n Volume : " + volume + "\n\n");
  }
  public static void Main(String[] args)
  {
    IcosahedronVolume obj = new IcosahedronVolume();
    //Test Cases  
    obj.icosahedron_volume(4);
    obj.icosahedron_volume(8);
    obj.icosahedron_volume(13.6);
  }
}

Output

 Icosahedron [ Side : 4 ]
 Volume : 139.628479399994

 Icosahedron [ Side : 8 ]
 Volume : 1117.02783519996

 Icosahedron [ Side : 13.6 ]
 Volume : 5487.95775433738

<?php
// Php Program
// Find volume of Icosahedron
class IcosahedronVolume
{
  //Calculate volume of Icosahedron by given side
  public  function icosahedron_volume($side)
  {
    //Calculate Formula
    //5/12 (3 + √5)(side³)
    $volume = (5 / 12) *(3 + sqrt(5)) *($side *$side *$side);
    //Display the result of icosahedron volume
    echo(" Icosahedron [ Side : ". $side ." ] ");
    echo("\n Volume : ". $volume ."\n\n");
  }
}

function main()
{
  $obj = new IcosahedronVolume();
  //Test Cases  
  $obj->icosahedron_volume(4);
  $obj->icosahedron_volume(8);
  $obj->icosahedron_volume(13.6);
}
main();

Output

 Icosahedron [ Side : 4 ]
 Volume : 139.62847939999

 Icosahedron [ Side : 8 ]
 Volume : 1117.0278352

 Icosahedron [ Side : 13.6 ]
 Volume : 5487.9577543374

// Node Js Program
// Find volume of Icosahedron
class IcosahedronVolume
{
  //Calculate volume of Icosahedron by given side
  icosahedron_volume(side)
  {
    //Calculate Formula
    //5/12 (3 + √5)(side³)
    var volume = (5 / 12) *(3 + Math.sqrt(5)) *(side *side *side);
    //Display the result of icosahedron volume
    process.stdout.write(" Icosahedron [ Side : " + side + " ] ");
    process.stdout.write("\n Volume : " + volume + "\n\n");
  }
}

function main(args)
{
  var obj = new IcosahedronVolume();
  //Test Cases  
  obj.icosahedron_volume(4);
  obj.icosahedron_volume(8);
  obj.icosahedron_volume(13.6);
}
main();

Output

 Icosahedron [ Side : 4 ]
 Volume : 139.6284793999944

 Icosahedron [ Side : 8 ]
 Volume : 1117.0278351999552

 Icosahedron [ Side : 13.6 ]
 Volume : 5487.95775433738

#  Python 3 Program
#  Find volume of Icosahedron
import math
class IcosahedronVolume :
  # Calculate volume of Icosahedron by given side
  def icosahedron_volume(self, side) :
    # Calculate Formula
    # 5/12 (3 + √5)(side³)
    volume = (5 / 12) * (3 + math.sqrt(5)) * (side * side * side)
    # Display the result of icosahedron volume
    print(" Icosahedron [ Side : ", side , end = " ]")
    print("\n Volume : ", volume ,"\n")
  

def main() :
  obj = IcosahedronVolume()
  # Test Cases  
  obj.icosahedron_volume(4)
  obj.icosahedron_volume(8)
  obj.icosahedron_volume(13.6)


if __name__ == "__main__": main()

Output

 Icosahedron [ Side :  4 ]
 Volume :  139.6284793999944

 Icosahedron [ Side :  8 ]
 Volume :  1117.0278351999552

 Icosahedron [ Side :  13.6 ]
 Volume :  5487.95775433738

#  Ruby Program
#  Find volume of Icosahedron
class IcosahedronVolume

  # Calculate volume of Icosahedron by given side
  def icosahedron_volume(side)
  
    # Calculate Formula
    # 5/12 (3 + √5)(side³)
    volume = (5.0 / 12) * (3 + Math.sqrt(5)) * (side * side * side)
    # Display the result of icosahedron volume
    print(" Icosahedron [ Side  : ", side ," ] ")
    print("\n Volume  : ", volume ,"\n\n")
  end
end
def main()

  obj = IcosahedronVolume.new()
  # Test Cases  
  obj.icosahedron_volume(4)
  obj.icosahedron_volume(8)
  obj.icosahedron_volume(13.6)
end
main()

Output

 Icosahedron [ Side  : 4 ] 
 Volume  : 139.6284793999944

 Icosahedron [ Side  : 8 ] 
 Volume  : 1117.0278351999552

 Icosahedron [ Side  : 13.6 ] 
 Volume  : 5487.95775433738


// Scala Program
// Find volume of Icosahedron
class IcosahedronVolume
{
  //Calculate volume of Icosahedron by given side
  def icosahedron_volume(side: Double): Unit = {
    //Calculate Formula
    //5/12 (3 + √5)(side³)
    var volume: Double = (5.0 / 12) * (3 + Math.sqrt(5)) * (side * side * side);
    //Display the result of icosahedron volume
    print(" Icosahedron [ Side : " + side + " ] ");
    print("\n Volume : " + volume + "\n\n");
  }
}
object Main
{
  def main(args: Array[String]): Unit = {
    var obj: IcosahedronVolume = new IcosahedronVolume();
    //Test Cases  
    obj.icosahedron_volume(4);
    obj.icosahedron_volume(8);
    obj.icosahedron_volume(13.6);
  }
}

Output

 Icosahedron [ Side : 4.0 ]
 Volume : 139.6284793999944

 Icosahedron [ Side : 8.0 ]
 Volume : 1117.0278351999552

 Icosahedron [ Side : 13.6 ]
 Volume : 5487.95775433738

// Swift Program
// Find volume of Icosahedron
import Foundation
class IcosahedronVolume
{
  //Calculate volume of Icosahedron by given side
  func icosahedron_volume(_ side: Double)
  {
    //Calculate Formula
    //5/12 (3 + √5)(side³)
    let volume: Double = (5 / 12) * (3 + sqrt(5)) * (side * side * side);
    //Display the result of icosahedron volume
    print(" Icosahedron [ Side : ", side , terminator: " ]");
    print("\n Volume : ", volume ,"\n");
  }
}
func main()
{
  let obj: IcosahedronVolume = IcosahedronVolume();
  //Test Cases  
  obj.icosahedron_volume(4);
  obj.icosahedron_volume(8);
  obj.icosahedron_volume(13.6);
}
main();

Output

 Icosahedron [ Side :  4.0 ]
 Volume :  139.628479399994

 Icosahedron [ Side :  8.0 ]
 Volume :  1117.02783519996

 Icosahedron [ Side :  13.6 ]
 Volume :  5487.95775433738
Last updated on by Kalkicode




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