Name_____________________________________Date________________

The "Big" Cereal Problem

How many of you have ever opened a package of potato chips,cereal, cookies, etc. only to wonder where all the food went?While some of this is a result of "settling" that occursto the product during shipping, companies have also realized thatconsumers (people who buy their product) are drawn to bigger packages.Consumers want to think that they are getting the most for theirmoney when purchasing a product. Because of this, companies areconcerned with making sure that their package is designed in away that will maximize its size.

Open the file sa.gsp

1. Imagine that you are working for a company that manufacturesbreakfast cereal. Your job is to create a box for the new trialsize packages your company is offering. You are given a specificamount of cardboard with which you can make your box. What dimensionsshould you give your box?

Give a detailed description below of HOW and WHY you chose your dimensions. Be sure to include any measurements or calculations that you took to help you make your decision. Draw a sketch of the box.

Name_____________________________________Date_____________

A Sticky Situation

All companies are concerned with how much money it takes to produce their product. One way to save money in packaging is to design the package so that only the minimal amount of materials are needed. In the situation above, you were given an amount of cardboard to work with. Let's see what happens when you are not given an amount.

Open the file Volume125.gsp

2. Now imagine that your employer has put you in charge of the packaging for a new promotional item. If children send in 10 proofs of purchase along with \$1.95 to cover shipping, they will receive a box of 125 cubic centimeters of SLIME! The packaging for the slime should be in the shape of a rectangular prism for easy mailing. What dimensions should you give this package?

Give a detailed description below of HOW and WHY you chose your dimensions. Be sure to include any measurements or calculations that you took to help you make your decision. Draw a sketch of the box.