javascript

calculateSurfaceAreaCubeInSphere()

Parameters: radius (Number)

radius: the radius of the sphere encapsulating the cube

Returns: Surface Area of the cube (Number)

This function helps to calculate the surface area of a cube that perfectly fits within a sphere. Useful for geometric calculations.

Variables
Mathematical Operations
Functions
Medium dificulty

Writing a JavaScript code to calculate the surface area of a cube in a sphere

Hello programmer! Welcome to this blog post where we will guide you through the steps on how to calculate the surface area of a cube that is inscribed in a sphere using JavaScript. We will write a function calculateSurfaceAreaCubeInSphere to accomplish this task. This will help you understand the crossroads of Geometry and JavaScript, allowing you to improve your problem-solving skills. Let's get started!

Step 1: Understand the Problem

The problem asks us to calculate the surface area of a cube that is inscribed in a sphere. The edge of the cube will be the same as the diameter of the sphere. We need to write this in JavaScript code.

Step 2: Writing the function skeleton

Let's first create a function calculateSurfaceArea which takes the radius of the sphere as an input parameter.

function calculateSurfaceArea(radius) {

}

Step 3: Calculating Edge Length

The diameter of the sphere is the length of the edge of the cube which is two times the radius. We write this calculation inside our function.

function calculateSurfaceArea(radius) {
  var edgeLength = 2 * radius;
}

Step 4: Calculating Surface Area

The surface area of a cube can be calculated by the formula 6*edgeLength^2. We add this calculation to our function as the next step.

function calculateSurfaceArea(radius) {
  var edgeLength = 2 * radius;
  var surfaceArea = 6 * Math.pow(edgeLength, 2);
}

Step 5: Return the Surface Area

Finally, we need to return the calculated surface area from our function. So, the final JavaScript function will look like the following:

function calculateSurfaceArea(radius) {
  var edgeLength = 2 * radius;
  var surfaceArea = 6 * Math.pow(edgeLength, 2);
  return surfaceArea;
}

Conclusion

By following these steps, we are able to write a JavaScript function that calculates the surface area of a cube inscribed in a sphere. Remember that the key findings here were that the edge of the cube is the diameter of the sphere and that the surface area of a cube is given by 6*edgeLength^2. In our function, we implemented these findings.

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Surface area of a cube in a sphere

Calculates the surface area of a cube inscribed in a sphere

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Mathematical principle

The primary mathematical principle in this task is geometry where `Surface Area of Cube = 6a^2` where `a` is the edge length of the cube. Since the cube is inscribed in the sphere, the diameter of the sphere is same as the edge length of cube. Hence, the surface area is calculated.

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