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
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 <bits/stdc++.h> 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; } |
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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)); } } |
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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 |
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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 } } |
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PHP
<?php // PHP program to find // the Area and volume // of Icosahedron // Function to find area // of Icosahedron function findArea($a) { $area; // Formula to // calculating area $area = 5 * sqrt(3) * $a * $a; return $area; } // Function to find // volume of Icosahedron function findVolume($a) { $volume; // Formula to // calculating volume $volume = ((float)5 / 12) * (3 + sqrt(5)) * $a * $a * $a; return $volume; } // Driver Code $a = 5; // Function call to find // area of Icosahedron. echo "Area: " , findArea($a), "\n"; // Function call to find // volume of Icosahedron. echo "Volume: " , findVolume($a); // This code is contributed // by jit_t ?> |
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Output:
Area: 216.506 Volume: 272.712
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