The respective length, breadth and height of the rectangular cuboid
is A+2, B+2 and C+2 and the respective length, breadth and height of the rectangular cuboid R2
is A, B and C.
It is known that:
(i) The volume of R1
is precisely twice that of R2
(ii) Each of A, B and C is a positive integer with A ≤ B ≤ C
Determine the maximum value of C.
I started by trying to find solutions with c=1 and c=2 (there are none).
When c=3 the equation becomes
B - (10A+20)/(A-10)
the first solution is A=11, B=130, C=3
Then I realized that due to the symmetry of this situation there is a solution when C=130.
Then I realized that the other two values are minimized and the third is maximized.
So the maximum value of C is 130.
(Does this reasoning work?)
Posted by Jer
on 2014-11-05 22:36:58