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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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)?
Transcribed Image Text: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)?
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What value of x will make the length of the box three times as big as the width?

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