Given: Edge of larger cube = 16 cm Edge of smaller cube = 2 cm Formula Used: The volume of cube = side × side × side Calculation: Volume of larger cube = 16 cm × 16 cm × 16 cm Volume of smaller cube = 2 cm × 2 cm × 2 cm Number of cubes can be cut = Volume of larger cube × Volume of the smaller cube ⇒ Number of cubes can be cut = (16 cm × 16 cm × 16 cm)/( 2 cm × 2 cm × 2 cm) ⇒ Number of cubes can be cut = 512 cubes 512 cubes can be cut. ∴ The correct option is 3 i.e. 512 cubes