Program for Surface area of Dodecahedron
Given the edge of the dodecahedron calculate its surface area. Surface area is the amount of space that all the faces of the shape takes up.
Formula: 
Examples:
Input : 3 Output : 185.812 Input : 7 Output : 1011.64
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’). Every shape has properties and characteristics.So has dodecahedron
- 12 equal pentagonal faces
- 20 vertices
- 30 edges
where pentagon is a 2-dimensional shape with 5 straight sides and 5 vertices. So, a dodecahedron has 12 of these flat, equal pentagonal faces.So one can think dodecahedron as a 12 faced dice(Usually not seen) but can be in a Battleball board game.
C++
// CPP program to calculate // surface area of dodecahedron #include <bits/stdc++.h> using namespace std; // utility Function double area_of_dodecahedron(int side) { return ((3 * sqrt(25 + 10 * (sqrt(5)))) * (pow(side, 2))) ; } // Driver Function int main() { int side = 3; cout<< "Surface area of dodecahedron = " << area_of_dodecahedron(side); return 0; } |
chevron_right
filter_none
Java
//Java program to calculate // surface area of dodecahedron class GFG { // Utility Function static double area_of_dodecahedron(int side) { return ((3 * Math.sqrt(25 + 10 * (Math.sqrt(5)))) * (Math.pow(side, 2))) ; } // Driver Function public static void main (String[] args) { int side = 3; System.out.println("Surface area of dodecahedron =" + area_of_dodecahedron(side)); } } // This code is contributed by Azkia Anam. |
chevron_right
filter_none
Python3
# Python program to calculate # surface area of dodecahedron import math # utility Function def area_of_dodecahedron(side): return ((3 * math.sqrt(25 + 10 * (math.sqrt(5))))* (math.pow(side, 2))) # Driver Function side = 3print("Surface area of dodecahedron = ", round(area_of_dodecahedron(side), 3)) # This code is contributed # by Azkia Anam. |
chevron_right
filter_none
C#
//C# program to calculate // surface area of dodecahedron using System; class GFG { // Utility Function static float area_of_dodecahedron(int side) { return (float)((3 * Math.Sqrt(25 + 10 * (Math.Sqrt(5)))) * (Math.Pow(side, 2))) ; } // Driver Function public static void Main () { int side = 3; Console.WriteLine("Surface area of dodecahedron =" + area_of_dodecahedron(side)); } } // This code is contributed by vt_m. |
chevron_right
filter_none
PHP
<?php // PHP program to calculate // surface area of dodecahedron // utility Function function area_of_dodecahedron( $side) { return ((3 * sqrt(25 + 10 * (sqrt(5)))) * (pow($side, 2))) ; } // Driver Code $side = 3; echo("Surface area of dodecahedron = "); echo(area_of_dodecahedron($side)); // This code is contributed by vt_m. ?> |
chevron_right
filter_none
Output:
Surface area of dodecahedron = 185.812
