Box Folding: Gathering
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Before you begin with this page, be sure you have written
notes on your conversations previously.
Here are some ideas that typically come up:
- Hypothesis: All the boxes have the same volume because even
as the base
gets smaller, the sides get higher
- Hypothesis: The volumes are getting larger, but
reach a maximum and then
start getting smaller.
- Hypothesis: They all have different volumes and
they're getting smaller with the long, flat tray having the biggest.
- Test: We can just measure the volumes by filling them up
something like rice or puffed rice and see if there are differences.
- Test: We can just calculate the base times width times
see how the volumes compare.
way to compare the volumes is to take some space filling material like
rice or puffed rice and pour it from one box to the next. What do you
conclude about the volumes from this experiment?
Focusing on this last point, let's make a table.
Go to the next page to and print the