Explanation:

- A cube has six equal sides, and the volume is calculated by multiplying the length of any side by itself twice.

- Given that the length of each side is 4 cm, the volume of the cube is calculated as 4 cm x 4 cm x 4 cm.

- This calculation results in a volume of 64 cm³.

- Option 1: 128 cm³ is incorrect for a cube with side length 4 cm.

- Option 2: 48 cm³ is also incorrect and does not match the volume calculation.

- Option 3: 64 cm³ is correct as shown in the calculation above.

- Option 4: 32 cm³ is incorrect and too low for the volume of the cube.