A Tetrahedron is simply a pyramid with a triangular base. It is a solid object with four triangular faces, three on the sides or lateral faces, one on the bottom or the base and four vertices or corners. If the faces are all congruent equilateral triangles, then the tetrahedron is called regular.
The area of Tetrahedron can be found by using the formula :
Area = sqrt(3)*(side*side)
Examples :
Input : side = 3 Output : 15.5885 Input : side = 20 Output : 692.82
C++
// C++ Program to Calculate // area of tetrahedron #include<iostream> #include<math.h> using namespace std; //Utility Function double area_of_tetrahedron(int side) { return (sqrt(3)*(side*side)); } //Driver Code int main() { int side=3; cout<< "Area of Tetrahedron =" << area_of_tetrahedron(side); } // This code is contributed by anant321. |
Java
// Java Program to Calculate // area of tetrahedron import java.util.*; import java.lang.*; class GFG { // Utility Function public static double area_of_tetrahedron(int side) { return (Math.sqrt(3) * (side * side)); } // Driver code public static void main(String[] args) { int side = 3; System.out.println("Area of Tetrahedron =" + area_of_tetrahedron(side)); } } // This code is contributed // by Prasad Kshirsagar |
Python3
# Python3 Program to # Calculate area of # tetrahedron import math def area_of_tetrahedron(side): return (math.sqrt(3) * (side * side)); # Driver Code side = 3; print("Area of Tetrahedron = ", round(area_of_tetrahedron(side), 4)); # This code is contributed by mits |
C#
// C# Program to Calculate // area of tetrahedron using System; class GFG { // Utility Function public static double area_of_tetrahedron(int side) { return (Math.Sqrt(3) * (side * side)); } // Driver code static public void Main () { int side = 3; Console.WriteLine("Area of Tetrahedron = " + area_of_tetrahedron(side)); } } // This code is contributed // by akt_mit |
PHP
<?php // PHP Program to Calculate // area of tetrahedron function area_of_tetrahedron($side) { return (sqrt(3) * ($side * $side)); } // Driver Code $side = 3; echo "Area of Tetrahedron = ", area_of_tetrahedron($side); // This code is contributed by aj_36. ?> |
Javascript
<script> // javascript Program to Calculate // area of tetrahedron // Utility Function function area_of_tetrahedron( side) { return (Math.sqrt(3) * (side * side)); } // Driver Code let side = 3; document.write("Area of Tetrahedron ="+ area_of_tetrahedron(side).toFixed(4)); // This code contributed by aashish1995 </script |
Output
Area of Tetrahedron =15.5885
Time complexity: O(1) as it is performing constant operations
Auxiliary space: O(1)
The volume of the tetrahedron can be found by using the following formula :
Volume = a3/(6?2)
Examples :
Input : side = 3 Output : 3.18 Input : side = 20 Output : 942.81
C++
// C++ code to find the volume of a tetrahedron #include <bits/stdc++.h> using namespace std; // Function to calculate volume double vol_tetra(int side) { double volume = (pow(side, 3) / (6 * sqrt(2))); return volume; } // Driver code int main() { int side = 3; double vol = vol_tetra(side); vol = (double)round(vol * 100) / 100; cout << vol; return 0; } // This code is contributed by suresh07 |
Java
// Java code to find the volume of a tetrahedron import java.io.*; class Tetrahedron { // Function to calculate volume static double vol_tetra(int side) { double volume = (Math.pow(side, 3) / (6 * Math.sqrt(2))); return volume; } // Driver Code public static void main(String[] args) { int side = 3; double vol = vol_tetra(side); vol = (double)Math.round(vol * 100) / 100; System.out.println(vol); } } |
Python3
# Python code to find the volume of a tetrahedron import math def vol_tetra(side): volume = (side ** 3 / (6 * math.sqrt(2))) return round(volume, 2) # Driver Code side = 3vol = vol_tetra(side) print(vol) |
C#
// C# code to find the volume of a tetrahedron using System; class Tetrahedron { // Function to calculate volume static double vol_tetra(int side) { double volume = (Math.Pow(side, 3) / (6 * Math.Sqrt(2))); return volume; } // Driver Code public static void Main() { int side = 3; double vol = vol_tetra(side); vol = (double)Math.Round(vol * 100) / 100; Console.WriteLine(vol); } } // This code is contributed // by vt_m. |
PHP
<?php // PHP program to find the // volume of a tetrahedron // Function to calculate volume function vol_tetra($side) { $volume = (pow($side, 3) / (6 * sqrt(2))); return $volume; } // Driver Code $side = 3; $vol = vol_tetra($side); echo $vol; // This code is contributed by ajit ?> |
Javascript
<script> // javascript code to find the volume of a tetrahedron function vol_tetra(side) { let volume = (Math.pow(side, 3) / (6 * Math.sqrt(2))); return volume; } // Driver Code let side = 3; let vol = vol_tetra(side); vol = Math.round(vol * 100) / 100; document.write(vol); // This code is contributed by gauravrajput1 </script> |
Output
3.18
Time complexity: O(1)
Auxiliary Space: O(1) since no extra array is used so the space taken by the algorithm is constant
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