Question

Write a program to find the volume of a box that has its sides \(\mathrm{w}, \mathrm{h}, \mathrm{d}\) as width, height, and depth, respectively. Its volume is \(\mathrm{v}=\mathrm{w} * \mathrm{~h} * \mathrm{~d}\) and \(\mathrm{also}\) find the surface area given by the formula \(\mathrm{s}=\) \(2(\mathrm{wh}+\mathrm{hd}+\mathrm{dw})\)

Short answer

Calculate volume as \(v = w \times h \times d\) and surface area as \(s = 2(wh + hd + dw)\).

Step-by-step solution

Define the Problem

To solve the problem, we need to write a program that accepts inputs for the width (w), height (h), and depth (d) of a box and calculates both the volume and the surface area of the box using the given formulas.

Set Up the Program Structure

Start by setting up the basic structure of the program, making sure it asks the user for inputs and performs the necessary calculations. Use appropriate data types for the measurements.

Input the Dimensions

Prompt the user to input the values for width (w), height (h), and depth (d). In Python, this can be done using the `input()` function. Ensure to convert these inputs to a numerical data type like float or integer.

Calculate the Volume

Use the formula for the volume of the box, \(v = w \times h \times d\). Implement this in the program by creating a variable, say `volume`, and assign it the result of the expression.

Calculate the Surface Area

Use the formula for the surface area, \(s = 2(wh + hd + dw)\). Implement this in the program by creating another variable, say `surface_area`, and assign it the result of the expression.

Display the Results

Output the results to the user. Print the calculated volume and surface area clearly, making sure the user understands which is which.

Key concepts

volume calculation in Java

The volume of a box can be calculated using Java by writing a program that harnesses a simple multiplication formula. The formula is \(v = w \times h \times d\), where \(w\) is the width, \(h\) is the height, and \(d\) is the depth of the box. To create a Java application for this purpose, follow these simple steps:

• Start by selecting an appropriate data type for the dimensions of the box. Doubles or floats are generally recommended because they accommodate decimal values and provide more precision.
• Create a Java class and use the main method as the entry point of the program.
• Use a scanner object to read user input for the box dimensions. Don't forget to import `java.util.Scanner` at the beginning of your Java file.
• Store the user's inputs in variables corresponding to the dimensions \(w\), \(h\), and \(d\).
• Compute the volume by multiplying these variables together.
• Finally, display the volume to the user using `System.out.println`.

Using a straightforward approach like this in Java allows beginners to grasp the concept of volume calculation easily. This example demonstrates basic input/output operations and arithmetic operations.

surface area calculation in Java

Calculating the surface area of a box is critical for many applications, and it is easily manageable with Java programming. The surface area formula is \(s = 2(wh + hd + dw)\). Here are the key steps to implement this in Java:

• Continue using the previously defined variables: \(w\), \(h\), and \(d\). This ensures consistency and simplicity in your program.
• The formula requires calculating the area of each pair of box sides, namely width-height, height-depth, and depth-width. Multiply these pairs accordingly.
• Add the results of these multiplications. Then, double the sum to account for both sides of each pair.
• Store the result in a variable called `surfaceArea`. Simple variables like this help in clear code documentation and maintainability.
• Print the computed surface area using `System.out.println` to communicate the result to the user effectively.

This systematic breakdown of calculating the surface area in Java not only enhances understanding but also demonstrates the power of Java in handling mathematical operations efficiently. By engaging in this exercise, learners can become more comfortable with basic programming constructs and mathematical logic.

step-by-step Java coding guide

Writing a Java program can seem challenging at first, but breaking down the tasks into simple steps facilitates an easier learning experience. Follow this Java coding guide to effectively solve the problem of calculating the volume and surface area of a box:

• Define the Class and Main Method: Start your program by defining a main class and a main method (`public static void main(String[] args)`). This is the standard entry point for any Java application.
• Import Necessary Libraries: Add any necessary imports, such as `java.util.Scanner`, at the top of your file. This enables you to take user input.
• Initialize Scanner: Inside the main method, create a `Scanner` object to read input from the console. This facilitates interaction with the user.
• Declare Variables: Prompt the user to enter the box's dimensions and store their input using variables like `width`, `height`, and `depth`.
• Calculate Volume and Surface Area: Use the respective formulas to compute the volume and surface area. These operations illustrate the core logic of your program.
• Output Results: Conclusively, provide the results back to the user. Clearly label the outputs to avoid any confusion.

Adhering to this step-by-step guide, learners can efficiently navigate Java's syntax and understand the importance of each programming step. This methodical approach underscores good coding practices and helps develop problem-solving skills.