CalculateVolumePyramidInCube()

Step 1: Understanding the Problem

Task: Calculate the volume of a pyramid that fits perfectly inside a cube. Remember that the volume of a pyramid is given by 1/3 * base area * height. In our case, since the pyramid fits perfectly inside the cube, its base area and height are equal to the cube's side length.

Before we proceed to write down the function, we first need to import the required utility called java.util.* that is needed to define our Scanner class.

import java.util.*;

Step 2: Defining the function to Calculate the Volume of a Pyramid

Now let's define a function that takes the side length of the cube as an input and returns the volume of the pyramid. Let's name this function calculatePyramidVolume. Remember that in Java, the square of a number can be calculated using the Math.pow() method.

public static double calculatePyramidVolume(double sideLength) {
    return (1.0/3.0) * Math.pow(sideLength, 3);
}

Step 3: Accepting User Input

We will then use Scanner class to take user input for the length of the side of the cube. The Scanner class is included in the java.util package, so it's automatically imported when we use java.util.*.

Scanner scanner = new Scanner(System.in);
System.out.println("Enter the side length of the cube: ");
int sideLength = scanner.nextInt();

Step 4: Defining the Main Function

In our main function, we will call the function calculatePyramidVolume with the user-provided side length of the cube as the argument.

public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.println("Enter the side length of the cube: ");
int sideLength = scanner.nextInt();

System.out.println("The volume of the pyramid that fits inside the cube is: " + calculatePyramidVolume(sideLength));
}

Conclusion: The Full Code

The full code will look like this:

import java.util.*;

public class Main {

    public static double calculatePyramidVolume(double sideLength) {
        return (1.0/3.0) * Math.pow(sideLength, 3);
    }

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        System.out.println("Enter the side length of the cube: ");
        double sideLength = scanner.nextDouble();

        System.out.println("The volume of the pyramid that fits inside the cube is: " + calculatePyramidVolume(sideLength));
    }
}