java

calculateSurfaceAreaCubeInSphere()

Parameters: double radius

The radius of the sphere in which the cube is inscribed

Returns: The surface area of the cube as a double

This Java function takes as input the radius of the sphere and returns the surface area of the cube inscribed in the sphere.

Math Functions
Variables
Data Types
Return Statement
Medium dificulty

Writing a Java Function to Calculate the Surface Area of a Cube Inside a Sphere

Hello, fellow programmer! Welcome to this blog post. We're going to walk you through a pretty neat function today - calculating the surface area of a cube, that's encapsulated within a sphere. No need for fancy jargon here, we're all about keeping it understandable and enjoyable. We'll explain the steps to code this function in Java. Ready to dive in? Let's get started with our programming journey!

Step 1:

First, let's start by defining the function. This function will take the diameter of the sphere as a parameter, since the diameter of the sphere is equal to the edge of the cube. We'll call our function calculateSurfaceAreaOfCube.

public static double calculateSurfaceAreaOfCube(double diameter){}

Step 2:

Now, let's calculate the edge of the cube. As we established, this is simply equal to the diameter of the sphere. Let's introduce a new variable called edge to store this value.

public static double calculateSurfaceAreaOfCube(double diameter){
  double edge = diameter;
}

Step 3:

Surface area of a cube is calculated by the formula 6a^2 where 'a' is the length of the edge of the cube. So let's calculate the surface area, making use of the Math.pow function to square the edge.

public static double calculateSurfaceAreaOfCube(double diameter){
  double edge = diameter;
  double surfaceArea = 6 * Math.pow(edge, 2);
}

Step 4:

Finally, we just need to return the calculated surface area from the function. Adding a return statement will give us the final implementation of our function.

public static double calculateSurfaceAreaOfCube(double diameter){
  double edge = diameter;
  double surfaceArea = 6 * Math.pow(edge, 2);
  return surfaceArea;
}

Conclusion

The full code implementation calculates the surface area of a cube that's placed in a sphere. You simply need to call the function calculateSurfaceAreaOfCube with the diameter of the sphere as an argument, and it will return the surface area of the cube.

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Surface Area of a Cube inscribed in a Sphere

Calculate the surface area of a cube inscribed in a sphere

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Mathematical principle

The mathematical principle used here is geometry. Given the radius `r` of a sphere, the side length `s` of a cube inscribed in the sphere is `s = sqrt(2) * r`. The surface area `A` of a cube with side length `s` is `A = 6 * s^2`.

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