Solution:
1. Calculate the volume of one cubical container:
- Side length of one container: 4 \text{ cm}
- Volume of one container: 4 \times 4 \times 4 = 64 \text{ cm}^3
2. Determine how many such containers are needed to store 384 centimeter cubes:
- Total volume Bryon needs to store: 384 \text{ cm}^3
- Number of containers needed: \frac{384}{64} = 6
Therefore, Bryon needs 6 containers.