How many centimeters makes 1 meter cube?

You mean "how many cubic centimeters make 1 meter cube" because cm3 and m3 refer to volume, whereas cm refers to distance.

Now that that's out of the way.

There are 100 cm in 1 m.

1 meter cube is a box with sides 1m x 1m x 1m (so has a volume of 1 m3).

Therefore, in centimeters, it is 100 cm x 100 cm x 100 cm = 1 000 000 cm3 (or 106 cm3 or 1 million cm3).