Chapter 6
Team Projects

T10. Form a team of three or four others to discuss the advantages and disadvantages of the United States completely changing to the metric system. You might consider organizing a debate with another team to consider the following statement: Resolved, the United States should convert to the metric system.

T11. Suppose that we fit a band tightly around the earth at the equator. We wish to raise the band so that it is uniformly supported 6 ft above the earth at the equator.
  a. Guess how much extra length would have to be added to the band (not the supports) to do this.
  b. Calculate the amount of extra material that would be needed.

T12.The figure below illustrates a strange and interesting relationship. The square in part a has an area of 64 cm (8 cm by 8 cm). When this same figure is cut and rearranged as shown in part b, it appears to have an area of 65 cm. Where did this "extra" square centimeter come from? a. 8 cm 8 cm = 64 cm b. 13 cm5 cm = 65 cm Extra square centimeter?


                                        Extra square centameter?

Hint: Construct your own square 8 cm on a side and then cut it into the four pieces as shown. Place the four pieces together as illustrated. Be sure to do your measuring and cutting very carefully. Satisfy yourself that this "extra" square centimeter has appeared. Can you explain this relationship?