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aria, an architect, is working on designing a unique garden feature. She plans to include tetrahedron-shaped sculptures of varying sizes. Write a program to assist Maria in calculating the volumes of these tetrahedrons based on their different edge lengths. The program should take the edge length n as input and output the corresponding volume for her architectural designs.Formula: Volume of a tetrahedron = n3 / 6√2 where n is the edge length.Note: The power and square root are calculated using pow() and sqrt() inbuilt functions.Input format :The input consists of a double value n, representing the edge length of the tetrahedron sculpture.Output format :The output prints "Volume of the tetrahedron: " followed by a double value representing the volume of the tetrahedron sculpture, rounded off to two decimal places.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1.0 ≤ n ≤ 20.0Sample test cases :Input 1 :1.0Output 1 :Volume of the tetrahedron: 0.12Input 2 :3.9Output 2 :Volume of the tetrahedron: 6.99Input 3 :20.0Output 3 :Volume of the tetrahedron: 942.81Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.Marks : 10Negative Marks : 0

Question

aria, an architect, is working on designing a unique garden feature. She plans to include tetrahedron-shaped sculptures of varying sizes. Write a program to assist Maria in calculating the volumes of these tetrahedrons based on their different edge lengths. The program should take the edge length n as input and output the corresponding volume for her architectural designs.Formula: Volume of a tetrahedron = n3 / 6√2 where n is the edge length.Note: The power and square root are calculated using pow() and sqrt() inbuilt functions.Input format :The input consists of a double value n, representing the edge length of the tetrahedron sculpture.Output format :The output prints "Volume of the tetrahedron: " followed by a double value representing the volume of the tetrahedron sculpture, rounded off to two decimal places.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1.0 ≤ n ≤ 20.0Sample test cases :Input 1 :1.0Output 1 :Volume of the tetrahedron: 0.12Input 2 :3.9Output 2 :Volume of the tetrahedron: 6.99Input 3 :20.0Output 3 :Volume of the tetrahedron: 942.81Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.Marks : 10Negative Marks : 0

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Solution

Here is a Python program that calculates the volume of a tetrahedron given the edge length:

import math

# Function to calculate volume
def calculate_volume(n):
    volume = (math.pow(n, 3)) / (6 * math.sqrt(2))
    return round(volume, 2)

# Input edge length
n = float(input())

# Calculate and print volume
volume = calculate_volume(n)
print("Volume of the tetrahedron: " + str(volume))

This program first imports the math module to use the pow() and sqrt() functions. It then defines a function calculate_volume() that takes the edge length n as an argument and calculates the volume of the tetrahedron using the given formula. The volume is then rounded to two decimal places using the round() function.

The program then takes the edge length as input from the user, calculates the volume using the calculate_volume() function, and prints the result. The output is a string that starts with "Volume of the tetrahedron: " followed by the calculated volume.

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