**rectangular cuboid**R

_{1}is A+2, B+2 and C+2 and the respective length, breadth and height of the rectangular cuboid R

_{2}is A, B and C.

It is known that:

(i) The volume of R

_{1}is precisely twice that of R

_{2}, and:

(ii) Each of A, B and C is a positive integer with A ≤ B ≤ C

Determine the maximum value of C.