This project is for individuals. 

1. Criteria:
   1. Build a 3x3x3 cube of 1 centimeter or 1 inch wooden cubes.
   2. Number of cubes per puzzle piece must be no less than 4 and no greater than 6.
   3. Combined pieces should not construct a flat plane.
2. Build your puzzle. Use only one small drop of wood glue per connection. Do not over-glue or your puzzle with not disassemble.
3. Wipe off any extra glue. Let dry for a few minutes.
4. Use painters tape to clamp your puzzle together as a cube. 
5. Let dry.
6. Disassemble carefully. Use a utility knife if necessary. Re-glue any pieces that fall off in the process.
7. Use a stopwatch to time six classmates for solving your puzzle. Create a histogram of the timings.

Submission

1. Photographs of your puzzle:
   1. Disassembled
   2. Solved
2. Histogram of solve times.
3. Questions:
   1. What makes a 3x3x3 block puzzle challenging?
   2. What steps could you take to determine all the different ways to construct a 4- to 6-cube piece?
   3. What does the histogram tell you about your puzzle?

Alternative

Create a flat puzzle out of wood equilateral triangles.

Model the puzzle first using Desmos.