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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