Python Program for Program to calculate area of a Tetrahedron

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 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

# 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)

3.18

Time complexity: O(1) since no loop is used the algorithm takes up constant time to perform the operations
Auxiliary Space: O(1)  since no extra array is used so the space taken by the algorithm is constant

Approach: In order to calculate the area of a tetrahedron, we need to know the length of one of its sides. Once we have the length of the side, we can use the following formula to calculate the area:
area = sqrt(3) * s^2

where s is the length of the side of the tetrahedron.

Steps:

1. Take the input of the length of the side of the tetrahedron.
2. Calculate the area using the formula.
3. Print the calculated area.

import math


def calculate_tetrahedron_area(side):
    area = math.sqrt(3) * side ** 2 / 4
    return round(area, 2)


# Example usage:
side = 3
area = calculate_tetrahedron_area(side)
print("The area of a tetrahedron with side", side, "is", area)

The area of a tetrahedron with side 3 is 3.9

Time Complexity: O(1) 
Auxiliary Space: O(1)

Please refer complete article on Program to calculate area of a Tetrahedron for more details!