Program to calculate volume of Octahedron

Given the side of the Octahedron then calculate the volume of Octahedron.

Examples:

Input : 3
Output : 12.7279

Input : 7
Output : 161.692

A regular Octahedron has eight faces,twelve edges and six vertices. It has eight triangles with edges of equal length and effectively two square pyramids meeting at their bases.

Octahedron
Image Source : Wikimedia

Properties of Octahedron:
Number of faces: 8
Number of edges: 12
Number of vertices: 6

Volume = √2/3 × a3 where a is the side of Octahedron

CPP

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// CPP Program to calculate 
// volume of Octahedron
#include <bits/stdc++.h>
using namespace std;
  
// utility Function
double vol_of_octahedron(double side)
{
    return ((side*side*side)*(sqrt(2)/3));
}
  
// Driver Function
int main()
{
    double side = 3;
    cout << "Volume of octahedron ="
         << vol_of_octahedron(side)
         << endl;
}

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Java

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// Java Program to calculate 
// volume of Octahedron
  
import java.io.*;
class GFG 
{
    public static void main (String[] args) 
      {
          // Driver Function
         double side = 3;
        System.out.print("Volume of octahedron = ");
        System.out.println(vol_of_octahedron(side));
  
      }
  
    // utility Function
    static double vol_of_octahedron(double side)
      {
         return ((side*side*side)*(Math.sqrt(2)/3));
      }
}
  
// This code is contributed
// by Azkia Anam.

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Python3

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# Python3 Program to calculate 
# volume of Octahedron
  
import math
  
# utility Function
def vol_of_octahedron(side):
    return ((side*side*side)*(math.sqrt(2)/3))
  
# Driver Function
side = 3
print("Volume of octahedron =",
      round(vol_of_octahedron(side),4))
  
# This code is contributed
# by Azkia Anam.

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C#

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// C# Program to calculate 
// volume of Octahedron
using System;
  
class GFG 
{
    public static void Main () 
    {
        // Driver Function
        double side = 3;
        Console.Write("Volume of octahedron = ");
        Console.WriteLine(vol_of_octahedron(side));
  
    }
  
    // utility Function
    static double vol_of_octahedron(double side)
    {
        return ((side*side*side)*(Math.Sqrt(2)/3));
    }
}
  
// This code is contributed
// by vt_m.

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PHP

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<?php
// PHP Program to calculate 
// volume of Octahedron
  
// utility Function
function vol_of_octahedron( $side)
{
    return (($side * $side
             $side) * (sqrt(2) / 3));
}
  
    // Driver Function
    $side = 3;
    echo ("Volume of octahedron =");
    echo(vol_of_octahedron($side));
          
// This code is contributed
// by vt_m.
?>

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Output:

 Volume of octahedron = 12.7279


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Improved By : vt_m