If a cube of volume 1728 cm3 is cut into 8 equal cubes and an another cube of volume 512 cm3 is also cut into 8 pieces, then find the ratio of total surface area of a small cube of first type to the ratio of lateral surface area of a small cube of second type. 

1
125 : 64
2
27 : 8
3
64 : 27
4
216 : 27

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