Third Quarter Geometry
The Package Project
You are a Package Designer for a cereal company. The company needs you to design a "box for snack cereal" to contain a net weight of 8 ounces (227 grams) of cereal. You need to minimize the cost of the packaging material, as well as consider uniqueness, stack ability and other non-monetary concerns.
Packaging material will cost 0.005 cents per square cm.
Part I
Task 1
Prepare report for all three designs proposals. 2 small boxes and 1 Package to ship 6 small cereal boxes that include:
1. Flat patterns or net to construct the prisms (Package design)
2. Calculation of surfaces areas
3. Calculation of the volume of the packages
4. Calculation of the ratios of the surface area and the volumes
5. Cost of the surface area (material needed for the boxes)
6. Fold it along the lines. Tape the edges together to form the prisms. Leave the top three edges open so that you can lift the top.
Task 2
Construct a table including:
Prisms design
Surface area
Volume
Ratio surfaces areas/Volumes
Cost of the packages
Task 3
Write a report submitting your proposal, detailing all three designs and justify your recommendations.
Part II: Make a display. To complete this project, follow these steps
Step 1: Use the net of the package that you recommend.
Step 2: Prepare attractive display of your prisms. A cardboard box with the top and one side removed would make a good background for the prisms. If you like, use color to make your display more appealing.
This project represents 20% of your grade for 3rd quarter. The final due date for completion is Wednesday April 6th.
