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 × awhere a is the side of Octahedron^{3}

## 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; ` `} ` |

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## 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. ` |

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## 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. ` |

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## 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. ` |

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## 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. ` `?> ` |

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Output:

Volume of octahedron = 12.7279

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