Comparing Surface Area & Volume

Prepare a Presentation

Work Time

Prepare a Presentation

  • Explain what you learned about surface area and volume of rectangular prisms. Use your work to support your explanations.

Challenge Problem

Suppose that you made two other prisms, but this time you started with a half-sheet of paper like the one in the diagram. (The half-sheet measures 414 by 11 inches.) Assume that these prisms have tops and bottoms.

  • Compare the surface area of the prisms made with half-sheets to those made with whole sheets.
    • How does the total surface area of each of these prisms compare to the whole-sheet prisms?
    • Which set of prisms (the half-sheets or whole-sheets) has a greater difference in total surface area between the two types (short and tall) of prisms? Explain.