Students investigate possible surface areas given a fixed volume of a prism.

As learning progresses they consider how to extend the surface area to infinity by considering non-integer lengths.

**Differentiated Learning Objectives**

- All students should be able to calculate a total surface area when given a cuboidâ€™s volume.
- Most students should be able to calculate multiple total surface area when given a fixed volume.
- Some students should be able to calculate the multiple total surface areas when given a fixed volume of a compound prism.