Cube Counting
Introduction
In this section, you are given a figure where it is made by cementing cubes of the same size together. The figure is then painted on all sides EXCEPT for the bottom on which it is resting. The only hidden cubes are those requires to support other cubes. For the following questions you are to examine each figure to determine how many cubes have either
- only one of their sides painted
- only two of their sides painted
- only three of their sides painted
- only four of their sides painted
- all five of their sides painted
Now that you understand the basics, let’s look at a sample question:
In Figure A, how many cubes have two of their exposed sides painted?
Here is the tally table along with the 3D model of Figure A for the above question:
# of Sides Painted | # of Cubes |
---|---|
1 (Purple) | 5 |
2 (Blue) | 6 |
3 (Yellow) | 4 |
4 (Green) | 6 |
5 (Red) | 2 |
Total Cubes: 23
Perceptual Ability Videos
Cube-Counting Strategies
Advanced PAT Generators
PAT Analyzers
Floating Cube Practice
Study Tip
Try different strategies to see which works best for you. Keep in mind, everyone is different
and so some strategies might be more effective for you than others.