SOLIDS Geometry Project Volume, Surface Area, and Packaging Design

Introduction: Think about going grocery shopping. How many “packaged” items do you pick up? Someone has to design those packages so that they can (a) attract buyers and (b) minimize cost to produce.

Geometric concepts: The cost of production is going to depend upon cost of materials and that will be determined by how much material is used. The amount of material used is the same as the surface area of the package (plus any overlap for sealing edges). The amount of product contained in the package will be predetermined – that is, the volume of the package must be large enough to comfortably hold the product.

Project Goal: Design a new shape for a cereal container that will cost as little as possible to make, but will also attract shopper’s attention.

Materials Needed: Cardstock, colored pencils, calculators, and your notes from class.

Project Outcomes:

1. Design a NEW shape for a cereal box to hold 2 cups of cereal. Create a net (one example is below) for your cereal box and label it with exact measurements in centimeters (include the pieces that overlap to seal the box). (Like a scale piece)

2. Create a model of your cereal box and decorate it. Be sure to leave it open so it can be filled with 2

cups of cereal (we will test them by filling them in class). The measurements should match the measurements of the net exactly.

3. Using the measurements, calculate the surface area and volume of the box once it is put together. Also calculate the amount of material that is needed (including any of the overlap area).

4. If the material cost is $0.10 for a 100 square centimeters of cardstock, calculate how much it will cost to create your box.

SOLIDS Geometry Project Volume, Surface Area, and Packaging Design

On May 24, you will turn in the following: 1. Net with all measurements2. Decorated cereal box3. Calculations of area of the base, lateral area, surface area, volume, amount of material needed, and cost of material

Volume, Surface Area, and Packaging Design Rubric

A B C D F

The net diagram is drawn with all pieces and has all the measurements.

The net diagram is missing the overlapping pieces to seal the box, but has all measurements.

The net diagram is missing the overlapping pieces to seal the box and/or missing some measurements.

The net diagram is missing the overlapping pieces to seal the box and/or missing most measurements.

The net diagram is missing the overlapping pieces to seal the box and/or missing all measurements.

The model matches the net diagram with all the dimensions.

The model matches the net diagram with most measurements.

The model somewhat matches the net diagram with measurements.

The model somewhat matches the net diagram and is missing a piece.

The model does not closely resemble the net diagram and/or the net diagram is missing so no comparison can be made.

All of the mathematics for surface area, volume, and cost are correct, along with showing work.

Most of the mathematics for surface area, volume, and cost are correct, along with showing work.

Most mathematics for surface area, volume, and cost are present, but missing the work.

The mathematics for surface area, volume, and cost are present, but some may be incorrect and/or missing the work.

No attempt is made to calculate the correct mathematics for surface area, volume, and cost.

The entire project is neat and legible, from the model construction to the math calculations.

Most of the project is neat and legible, from the model construction to the math calculations.

Some of the project is neat and legible, from the model construction to the math calculations.

Most of the project is not neat and legible, from the model construction to the math calculations.

The whole project is not neat and legible, from the model construction to the math calculations.

Student Name MAX points

Points Received

Comments

PART I: NET WITH ALL MEASUREMENTS APART 2: MODEL CREATION (CEREAL BOX) APART 3: AREA CALCULATIONS APART 4: VOLUME AND COST A

DEADLINE: This is due MAY 24, 2017 You will be given at least five full class days to work on this

project in class. Each student must print page 2 and display the day of

the presentation to receive grades.