A 4cm cube is cut into 1 CM cubes. what is the percentage increase in the surface area after such cutting?

400%.

Step-by-step explanation:

The surface area of a 4 cm cube = 6 * 4^2

= 96 cm^2.

The number of 1 cm cubes that can be cut from the larger cube is:

16 * 4 = 64.

The surface area of each of these smaller cubes is 6*1 = 6 cm^2.

The increase in surface area is a factor of (6*64) / 96

= 4 = 400%.