Explanation:

- Consider a cuboid with dimensions 32 cm, 4 cm, and 4 cm.

- This cuboid is divided into smaller cubes with each having a side of 4 cm.

- Calculate the volume of the cuboid: $32\times 4\times 4=512{\text{cm}}^3$.

- Calculate the volume of one cube: $4\times 4\times 4=64{\text{cm}}^3$.

- Total number of cubes formed: $\frac{512}{64}=8$.

- Surface area of one cube: $6\times 4\times 4=96{\text{cm}}^2$.

- Total surface area of all cubes: $8\times 96=768{\text{cm}}^2$.

- Final Calculation:

- ? Correct Answer: Option 4 - 768 cm²