Correct Answer - Option 3 : 512 cubes
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