## Three-Cubed Cube Puzzle

Source: Pixabay.com

Type: Investigation

Theme: Puzzles and Games

Grades: 7, 8, 9, 10, 11, 12

Learning Target: Students will build a puzzle from 27 wood cubes focusing on how to create a challenging puzzle.

Instructions

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. 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?

### Alternative

Create a flat puzzle out of wood equilateral triangles.

Model the puzzle first using Desmos.

Exit Ticket
How many ways are there to construct a 4- to 6-cube piece? Can you write an equation to make that calculation?
CCSS Math Practice
• I can make sense of problems and persevere in solving them.
NGSS Crosscutting Concepts