calculateVolumePyramidInCube()

Step 1: Understand the Problem

Typically the volume of a pyramid can be calculated using the formula:

Volume = 1 / 3 * Base * Height

But, there is an additional constraint in the problem, i.e., the pyramid is inside a cube. Therefore, the Base of the pyramid is equal to the Area of the Base of the cube and the Height of the pyramid is equal to the Height of the cube.

Since the side of the cube is given, the Base and the Height of the pyramid can be calculated using the side length of the cube.

So the first step is to write a high level structure for our function calculateVolumePyramidInCube.

function calculateVolumePyramidInCube(side) {
    // calculate the base of the pyramid
    // calculate the height of the pyramid
    // calculate the volume of the pyramid
    // return the volume
}

Step 2: Calculating the Base and the Height

As explained in step 1, the base of the pyramid is the area of the base of the cube and the height of the pyramid is the height of the cube.

To calculate the area of the base of the cube, we square the side length. Since the pyramid is inside a cube, the height of the pyramid is equal to the side of the cube.

function calculateVolumePyramidInCube(side) {
    let base = side * side; // area of the base of the cube.
    let height = side; // height of the cube.

    // calculate the volume of the pyramid
    // return the volume
}

Step 3: Calculating the Volume

Now, we can calculate the volume of the pyramid using the known formula.

Volume = 1 / 3 * Base * Height

function calculateVolumePyramidInCube(side) {
    let base = side * side; // area of the base of the cube.
    let height = side; // height of the cube.

    let volume = 1 / 3 * base * height; // volume of the pyramid

    // return the volume
}

Step 4: Returning the Result

Finally, we return the volume we computed as the result of the function.

function calculateVolumePyramidInCube(side) {
    let base = side * side; // area of the base of the cube.
    let height = side; // height of the cube.

    let volume = 1 / 3 * base * height; // volume of the pyramid

    return volume;
}

Conclusion

That's it! We have created a function that calculates the volume of a pyramid that resides perfectly inside a cube given the side length of the cube. Here is the complete code.

function calculateVolumePyramidInCube(side) {
    let base = side * side; // area of the base of the cube.
    let height = side; // height of the cube.

    let volume = 1 / 3 * base * height; // volume of the pyramid

    return volume;
}