State true or false. Explain your reasoning.

(i) The cube of any odd number is even.
 
Reason: The cube of any number is always .

(ii) There is no perfect cube that ends with \(3\).
 
Reason: The cubes of all the numbers ending with at the unit place end with \(3\).

(iii) It is possible for the cube of a two-digit number to be a three-digit number.
 
Reason: is the smallest \(2\) -digit number, and \(^3 = \), which has \(4\) digits.