Project: Packaging (If you need help with this project, please look back at the Solids: Prisms, Solids: Pyramids, Solids: Cylinders, Solids: Cones, and Solids: Spheres lessons.)
A candy company has hired you as their new production manager. Your job is to choose the form of packaging for a new product from the five choices below. The package must hold at least 250 cubic inches. The cost of the cardboard for the packaging is $0.03 per square inch.
Your project should include the volume, total surface area, and materials cost for each solid given below, including the formulas you used and each step of your work. Make sure to use the formulas given in your lessons and round your answers to the nearest hundredth.
You also need to include a paragraph that answers the following questions:
- Do all of the solids hold at least 250 cubic inches?
- Which solid is the most cost efficient (the packaging with the smallest materials cost that holds at least 250 cubic inches)?
- Would the most cost efficient solid work well for packaging? Why or why not?
- Which solid would you recommend using? Why?
Write a paragraph that answers the following questions:
- Do all of the solids hold at least 250 cubic inches?
- Which solid is the most cost efficient (the packaging with the smallest materials cost that holds at least 250 cubic inches)?
- Would the most cost efficient solid work well for packaging? Why or why not?
- Which solid would you recommend using? Why?