Question: 1. How many chunks of yam can you obtain when using exactly two cuts?
2. What is the largest number of yam chunks obtainable using exactly three cuts? It is much more difficult to draw cut yams than to draw sliced pizza, but attempt it anyway.
3. What is the largest number of pieces of yam you can obtain using exactly four cuts? If you cannot get an exact number, then try to find upper and lower bounds on the number.
(If you have access to a computer and would like a visual aid for your experiments or for communicating your ideas, see Wolfram Demonstration project - Cutting space Into Regions With Four Planes, you can move planes such as those shown in Figure)
