I use this as a volume and surface area project for my 7th and 8th grade students.
Students receive the following instructions:
You have been hired to design and create a new unique candy container for a candy shop. Your candy container can be any 3-D shape, but keep in mind that you will have to calculate the volume and surface area of the container.
Your objective is to create a candy container that will attract the attention of candy buyers and will earn you the most profits. You will want to draw several sketches of containers that could be used and calculate the profit of each container before deciding on which you will use. Your container must hold the actual candy and must have an opening that can be used to dispense the candy. You can choose to make your own candy or use candy that you buy from a store, but you should come up with your own unique name for your product.
You will turn in your 3-dimensional candy container, a drawing of the net of your container measured in centimeters, a table containing your sketches and the profit calculations for each sketch, and an explanation of why you decided to use the shape and dimensions of your final product. . Please use the rubric to ensure that you have included all necessary information. *Your net should be measured to the actual size of your product, but your sketches do not need to be drawn to size.
Use the following information to calculate the cost to manufacture each container, the cost that the container will be sold for, and the profits for each container sold. Create a table that compares your profits for each sketch. Use this information to make a decision about the dimensions and shape of your final product. Use your calculations in your explanation.
Cost to manufacture: $0.008 per cm2
Selling price: $0.02 per cm3
Includes a rubric for easy grading