# Making a Box## 2.1.You are given the task of making an open-topped box out of a single sheet of cardboard. The cardboard is a 20 inch by 30 inch rectangle. You build the box by cutting out squares in the four corners of the sheet, then folding up along the pink lines until the sides of the box meet.### Diagram ExplanationThe diagram shows a rectangle labeled with dimensions of 30 inches in length and 20 inches in width. In each corner, there are squares outlined in black, indicating where the material will be cut. The interior pink lines demonstrate where to fold the cardboard to form the sides of the box.### Problem StatementIf the squares cut out of each corner of the sheet are $ x $ inches to a side, what are the dimensions of the box? That is, what is the length of the box (made out of the 30 inch side), the width of the box (made out of the 20 inch side), and the height of the box (made by folding up the sides)?

2 Making a Box 2.1. You are given the task of making an open-topped box out of a single sheet of cardboard. The cardboard is a 20 inch by 30 inch rectangle. You build the box by cutting out squares in the four corners of the sheet, then folding up along the pink lines until the sides of the box meet. 30 inches 20 inches If the squares cut out of each corner of the sheet are x inches to a side, what are the dimensions of the box? That is, what is length of the box (made out of the 30 inch side), the width of the box (made out of the 20 inch side) and the height of the box (made by folding up the sides)?

2 Making a Box 2.1. You are given the task of making an open-topped box out of a single sheet of cardboard. The cardboard is a 20 inch by 30 inch rectangle. You build the box by cutting out squares in the four corners of the sheet, then folding up along the pink lines until the sides of the box meet. 30 inches 20 inches If the squares cut out of each corner of the sheet are x inches to a side, what are the dimensions of the box? That is, what is length of the box (made out of the 30 inch side), the width of the box (made out of the 20 inch side) and the height of the box (made by folding up the sides)?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

# Making a Box

## 2.1.

You are given the task of making an open-topped box out of a single sheet of cardboard. The cardboard is a 20 inch by 30 inch rectangle. You build the box by cutting out squares in the four corners of the sheet, then folding up along the pink lines until the sides of the box meet.

### Diagram Explanation

The diagram shows a rectangle labeled with dimensions of 30 inches in length and 20 inches in width. In each corner, there are squares outlined in black, indicating where the material will be cut. The interior pink lines demonstrate where to fold the cardboard to form the sides of the box.

### Problem Statement

If the squares cut out of each corner of the sheet are $ x $ inches to a side, what are the dimensions of the box? That is, what is the length of the box (made out of the 30 inch side), the width of the box (made out of the 20 inch side), and the height of the box (made by folding up the sides)?

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Follow-up Question

What value of x will make the length of the box three times as big as the width?

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