Question 348614
Let the length of an edge on the smaller cube be x; then the total surface area 


of the small cube is 6x^2 and its volume is x^3.



The large cube has one face with an area of 6x^2, so each edge is (sqrt6)x; the 



volume of the large cube is (6sqrt6)x^3, and the ratio of their volumes is 



6sqrt6: 1.