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 <bits/stdc++.h> 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 = 4print("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
<?php // PHP program to calculate // Volume of dodecahedron // utility Function function vol_of_dodecahedron($side) { return (((15 + (7 * (sqrt(5)))) / 4) * (pow($side, 3))) ; } // Driver Function $side = 4; echo ("Volume of dodecahedron = "); echo(vol_of_dodecahedron($side)); // This code is contributed by vt_m. ?> |
Javascript
<script> // javascript program to calculate // Volume of dodecahedron // utility Function function vol_of_dodecahedron( side) { return (((15 + (7 * (Math.sqrt(5)))) / 4) * (Math.pow(side, 3))) ; } // Driver Function let side = 4; document.write("Volume of dodecahedron = " + vol_of_dodecahedron(side).toFixed(2)); // This code contributed by gauravrajput1 </script> |
Output :
Volume of dodecahedron = 490.44
Time Complexity: O(logn)
Auxiliary Space: O(1)
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