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What’s the ideal size of a soda can? Soda companies spend billions of dollars each year to manufacture 12-ounce cans. If the companies changed the cans’ dimensions, though, they would save lots of money.

In this lesson, students create rational functions to explore the relationship between volume, surface area, and cost to determine the optimal size of a soda can.

### Students will

• Write, graph, and solve rational equations to describe geometric relationships

### Before you begin

Student will calculate the volume of cylinders in this lesson. If this formula or concept is not familiar, you'll need to build in extra time for development.