Program to calculate volume of Octahedron

0 0 2 minutes read

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.

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

// 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; 
} 

Java

// 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. 

Python3

# 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. 

C#

// 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. 

PHP

<?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. 
?> 

Javascript

<script> 
// javascript Program to calculate  
// volume of Octahedron 
  
// utility Function 
function vol_of_octahedron( side) 
{ 
    return ((side*side*side)*(Math.sqrt(2)/3)); 
} 
  
// Driver Function 
    let side = 3; 
    document.write("Volume of octahedron = " +  
    vol_of_octahedron(side).toFixed(4)); 
      
    // This code is contributed by gauravrajput1 
</script> 

Output:

 Volume of octahedron = 12.7279

Time complexity : O(1)
Auxiliary Space : O(1)

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