The Painted Cubes
The seven cubes along
the top of this display demonstrate the concept of function, one of the
main bodies of modern mathematics. Answers to the following questions
about each painted cube will lead to data that can be charted and graphed.
1. How many cubes have 0 painted sides?
2. How many cubes have 1 painted sides?
3. How many cubes have 2 painted sides?
4. How many cubes have 3 painted sides?
This data is written below each cube. The 7X7X7 is open, exposing the
cubic centimeters inside. Can you fill in the data for this cube? There
is an invisible cube to the right of the 7X7X7 cube. This cube has edges
that are 8 cm long. Can you fill in the data for this invisible cube?
| The 7X7X7 cube: | The 8X8X8 cube |
|---|---|
| 0 painted side - 125 | 0 painted side - 216 |
| 1 painted sides - 150 | 1 painted sides - 216 |
| 2 painted sides - 60 | 2 painted sides - 72 |
| 3 painted sides - 8 | 3 painted sides - 8 |
Arranged by Richard Rand