by Dan Meyer

• 1. Which container will hold more popcorn?
• 2. Write down a guess.

• video — creating the containers

• 3. What information would be useful to know here?

• image — dimensions of the papers

• video — the answer

• 4. Can a rectangular piece of paper give you the same amount of popcorn no matter which way you make the cylinder? Prove your answer.
• 5. How many different ways could you design a new cylinder to double your popcorn? Which would require the least extra paper?
• 6. Is there a way to get more popcorn using the exact same amount of paper? How can you get the most popcorn using the same amount of paper?