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Program to calculate area and volume of a Tetrahedron

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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.
 

Tetra

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 = 3
vol = 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



Last Updated : 20 Feb, 2023
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