# Program to find the Area and Volume of Icosahedron

Given the side of an Icosahedron. The task is to find the area and volume of the given Icosahedron.

Examples :

Input : a = 5
Output : Area: 216.506
Volume: 272.712

Input : a = 10
Output : Area: 866.0254
Volume: 2181.695


## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

In geometry, an Icosahedron is a regular polyhedron which contains 20 identical equilateral triangular faces, 30 sides, and 12 vertices. Formula to find Area and Volume of Icosahedron: Let a be the side of Icosahedron, then

Surface area of Icosahedron = and, Volume of Icosahedron = ## C++

 // C++ program to find the Area and  // volume of Icosahedron  #include  using namespace std;     // Function to find area of Icosahedron  float findArea(float a)  {      float area;         // Formula to calculating area      area = 5 * sqrt(3) * a * a;             return area;  }     // Function to find volume of Icosahedron  float findVolume(float a)  {      float volume;         // Formula to calculating volume      volume = ((float)5 / 12) * (3 + sqrt(5)) * a * a * a;             return volume;  }     // Driver Code  int main()  {      float a = 5;         // Function call to find area of Icosahedron.      cout << "Area: " << findArea(a) << endl;             // Function call to find volume of Icosahedron.      cout << "Volume: " << findVolume(a);         return 0;  }

## Java

 // Java program to find the Area and  // volume of Icosahedron  import java.io.*;     class GFG {             // Function to find area of Icosahedron      static float findArea(float a)      {          float area;                 // Formula to calculating area          area = (float)(5 * Math.sqrt(3) * a * a);                     return area;      }             // Function to find volume of Icosahedron      static float findVolume(float a)      {          float volume;                 // Formula to calculating volume          volume = (float)(((float)5 / 12) * (3 + Math.sqrt(5)) * a * a * a);                     return volume;      }             // Driver code      public static void main (String[] args)      {          float a = 5;             // Function call to find area of Icosahedron.          System.out.println("Area: " + findArea(a));                     // Function call to find volume of Icosahedron.          System.out.println("Volume: " + findVolume(a));      }  }

## Python3

 # Python3 program to   # find the Area and  # volume of Icosahedron     # import math module   # to use sqrt function  from math import sqrt     # Function to find   # area of Icosahedron  def findArea(a):         # Formula to calculate area      area = 5 * sqrt(3) * a * a      return area     # Function to find   # volume of Icosahedron  def findVolume(a):             # Formula to calculate volume      volume = ((5 / 12) *                (3 + sqrt(5)) *                 a * a * a)      return volume     # Driver Code  a = 5    # Function call to   # find area of Icosahedron.  print("Area: " , findArea(a))         # Function call to find  # volume of Icosahedron.  print("Volume: " , findVolume(a))     # This code is contributed  # by ihritik

## C#

 // C# program to find the Area and  // volume of Icosahedron  using System;     public class GFG {             // Function to find area of Icosahedron      static float findArea(float a)      {          float area;                 // Formula to calculating area          area = (float)(5 * Math.Sqrt(3) * a * a);                     return area;      }             // Function to find volume of Icosahedron      static float findVolume(float a)      {          float volume;                 // Formula to calculating volume          volume = (float)(((float)5 / 12) * (3 + Math.Sqrt(5)) * a * a * a);                     return volume;      }             // Driver code      static public void Main ()      {          float a = 5;             // Function call to find area of Icosahedron.          Console.WriteLine("Area: " + findArea(a));                     // Function call to find volume of Icosahedron.          Console.WriteLine("Volume: " + findVolume(a));          //Code      }  }

## PHP

 

Output:

Area: 216.506
Volume: 272.712


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Improved By : jit_t, ihritik

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