Lesson 5: Surface Area to Volume Ratio

The purpose of this lesson is to allow students to explore the relationship between surface area and volume using graphical analysis. Students may be surprised to learn that as objects get smaller, the volume decreases at a much faster rate than the surface area. The change in surface to volume ratio affects the properties of materials. This lesson involves the use of proportional reasoning and graphing.
Sample Data for Surface Area and Volume of Cubes

Sample Graph for Surface Area vs. Volume of Cubes

Website by Lori Andersen, 2012