# Calculate Volume of Dodecahedron

• Difficulty Level : Medium
• Last Updated : 22 Jun, 2022

Given the edge of the dodecahedron calculate its Volume. Volume is the amount of the space which the shapes takes up.
A dodecahedron is a 3-dimensional figure made up of 12 faces, or flat sides. All of the faces are pentagons of the same size.The word ‘dodecahedron’ comes from the Greek words dodeca (‘twelve’) and hedron (‘faces’).
Formula:
Volume = (15 + 7√5)*e3/4
Where e is length of an edge.
Examples :

```Input : side = 4
Output : 490.44

Input : side = 9
Output : 5586.41```

## C++

 `// CPP program to calculate``// Volume of dodecahedron``#include ``using` `namespace` `std;` `// utility Function``double` `vol_of_dodecahedron(``int` `side)``{``    ``return` `(((15 + (7 * (``sqrt``(5)))) / 4)``                       ``* (``pow``(side, 3))) ;``}``// Driver Function``int` `main()``{``    ``int` `side = 4;``    ` `    ``cout << ``"Volume of dodecahedron = "``         ``<< vol_of_dodecahedron(side);``}`

## Java

 `// Java program to calculate``// Volume of dodecahedron` `import` `java.io.*;` `class` `GFG``{``        ``// driver function``    ``public` `static` `void` `main (String[] args)``       ``{``           ``int` `side = ``4``;``           ``System.out.print(``"Volume of dodecahedron = "``);``           ``System.out.println(vol_of_dodecahedron(side));``       ``}``    ` `     ``static` `double` `vol_of_dodecahedron(``int` `side)``        ``{``             ``return` `(((``15` `+ (``7` `* (Math.sqrt(``5``)))) / ``4``)``                       ``* (Math.pow(side, ``3``)));``        ``}``}` `// This code is contributed``// by Azkia Anam.`

## Python3

 `# Python3 program to calculate``# Volume of dodecahedron``import` `math` `# utility Function``def` `vol_of_dodecahedron(side) :` `    ``return` `(((``15` `+` `(``7` `*` `(math.sqrt(``5``)))) ``/` `4``)``                    ``*` `(math.``pow``(side, ``3``)))` `# Driver Function``side ``=` `4``print``(``"Volume of dodecahedron ="``,``       ``round``(vol_of_dodecahedron(side), ``2``))``       ` `# This code is contributed by Smitha Dinesh Semwal`

## C#

 `// C# program to calculate``// Volume of dodecahedron``using` `System;` `public` `class` `GFG``{``    ` `    ``// utility Function``    ``static` `float` `vol_of_dodecahedron(``int` `side)``    ``{``        ``return` `(``float``)(((15 + (7 * (Math.Sqrt(5)))) / 4)``                        ``* (Math.Pow(side, 3))) ;``    ``}``    ` `    ` `    ``// Driver Function``    ``static` `public` `void` `Main ()``    ``{``        ``int` `side = 4;``    ` `        ``Console.WriteLine(``"Volume of dodecahedron = "``            ``+ vol_of_dodecahedron(side));``    ``}``}` `/* This code is contributed by vt_m.*/`

## PHP

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## Javascript

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Output :

```
Volume of dodecahedron = 490.44```

Time Complexity: O(logn)
Auxiliary Space: O(1)

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