Question 116909
CUBE ROOT OF 200=5.848
THEREFORE ONLY A 5*5*5=125 CUBE CAN BE MADE WITH 200 CUBES.
CUBE ROOT OF THE REMAINING 75=4.2172
THEREFORE ONLY A 4*4*4=64 CUBE CAN BE MADE WITH 75 CUBES.
CUBE ROOT OF THE REMAINING 11=2.224
THEREFORE ONLY A 2*2*2=8 CUBE CAN BE MADE WITH 11 CUBES.
CUBE ROOT OF THE REMAINING 3 CUBES=0
PROOF
5^3+4^3+2^3+3=200
125+64+8+3=200
200=200