C# Program to Check for a Cube Number

Posted in C# Tutorial

Updated on Oct 06, 2024

By Mari Selvan

👁️ 97 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, mathematical properties of numbers often lead to interesting and practical applications. One such property is being a cube number. A cube number is an integer that is the cube of an integer.

In this tutorial, we'll delve into a C# program that efficiently checks whether a given number is a perfect cube or not.

📄 Example

Let's take a look at the C# code that accomplishes this functionality.

IsPerfectCube.cs

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using System;

class Program {
  // Function to check if a number is a perfect cube
  static bool IsPerfectCube(int number) {
    // Calculate the cube root of the number
    double cubeRoot = Math.Cbrt(number);

    // Check if the cube root is close to an integer
    return Math.Abs(cubeRoot - Math.Round(cubeRoot)) < 1e-10;
  }

  // Driver program
  static void Main() {
    // Replace this value with your desired number
    int number = 27;

    // Check if the number is a perfect cube
    if (IsPerfectCube(number)) {
      Console.WriteLine($"{number} is a perfect cube.");
    } else {
      Console.WriteLine($"{number} is not a perfect cube.");
    }
  }
}

💻 Testing the Program

To test the program with different numbers, simply replace the value of the number variable in the Main method.

Output

27 is a cube number.

Compile and run the program to check if the number is a perfect cube.

🧠 How the Program Works

The program defines a function IsPerfectCube that takes an integer as input and returns true if it is a perfect cube, and false otherwise.
Inside the function, it calculates the cube root of the number using the Math.Cbrt method.
It then checks if the cube root is close to an integer using a tolerance value (1e-10 in this case).
The Main method initializes a variable with a number and calls the IsPerfectCube function to determine if it's a perfect cube.

📏 Between the Given Range

Let's delve into the C# code that identifies cube numbers in the specified range.

Program.cs

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using System;

class Program {
  // Function to check if a number is a cube number
  static bool IsCubeNumber(int num) {
    int cubeRoot = (int) Math.Round(Math.Pow(num, 1.0 / 3.0));
    int cube = cubeRoot * cubeRoot * cubeRoot;
    return cube == num;
  }

  // Driver program
  static void Main() {
    Console.WriteLine("Cube numbers in the range 1 to 50:");

    // Check and display cube numbers in the range
    for (int i = 1; i <= 50; i++) {
      if (IsCubeNumber(i)) {
        Console.Write($"{i} ");
      }
    }

    Console.WriteLine();
  }
}

💻 Testing the Program

Output

Cube numbers in the range 1 to 50:
1 8 27

Run the program to see the cube numbers within the range of 1 to 50.

🧠 How the Program Works

The program defines a function IsCubeNumber that checks if a given number is a cube number.
Inside the function, it calculates the cube root of the number and checks if the cube of this root is equal to the original number.
The Main method iterates through numbers from 1 to 50 and prints those that are cube numbers.

🧐 Understanding the Concept of Cube Number

A cube number is the result of raising an integer to the power of 3. For example, 2 * 2 * 2 = 8, so 8 is a cube number.

🎢 Optimizing the Program

The provided program is straightforward, but you might consider optimizing it further. For instance, you can explore alternative methods for checking if a number is a cube number without using the cbrt function.

Feel free to incorporate and modify this code as needed for your specific use case. Happy coding!