The ratio of the volumes of two cubes is 729 : 1000. What is the ratio of their total surface areas?  Choose the correct choice from the following answers:
A) 1 : 12
B) 81 : 13
C) 46 : 51
D) 86 : 16
E) 56 : 13

Rationale: "ratio of the sides = ³ √ 729 : ³ √ 1000 = 9 : 10 ratio of surface areas = 92 : 102 = 46 : 51 answer : c"
Answer: C