State true or false. Explain your reasoning.

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

(ii) There is no perfect cube that ends with \(7\).
 
Reason: The cubes of all the numbers ending with at the unit place end with \(7\).

(iii) The cube of two-digit numbers may have three digits.
 
Reason: is the smallest \(2\) -digit number, and \(^3 = \), which has \(4\) digits.