The box Problem: You have been given a  flat cardboard of area, say 70 square inches , to make an open box by cutting a square from each corner and folding the sides. Your objective is to determinethe dimension, that is, the length and width, and the side of the square to be cut from the corners so that the resulting box is of maximum value. Write a program that prompts the user ro enter the area of the flat cardboard. The progrma then outputs the length and the width of the cardbpard and the length of the side of the square to be cut from the cprner so that the reaulting box is of maximum volume. Calculate your answer to 3 decimal places. Your program must contain a method that takes as input the length and width of the tcardboard and returns the side of the aquare that should be cut to maximize the volume. The method also returns the maximum volume.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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This is a Java program  but I need a full explaintion on the math part about how to work this problem using algebra or geometry or trigonometry. Thank you a lot. Well, here is the program I need to create based off of your explaintion.

The box Problem: You have been given a  flat cardboard of area, say 70 square inches , to make an open box by cutting a square from each corner and folding the sides. Your objective is to determinethe dimension, that is, the length and width, and the side of the square to be cut from the corners so that the resulting box is of maximum value.

Write a program that prompts the user ro enter the area of the flat cardboard. The progrma then outputs the length and the width of the cardbpard and the length of the side of the square to be cut from the cprner so that the reaulting box is of maximum volume. Calculate your answer to 3 decimal places. Your program must contain a method that takes as input the length and width of the tcardboard and returns the side of the aquare that should be cut to maximize the volume. The method also returns the maximum volume. Thank you

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