Answer
Surface Area to Volume ratio of 1 mm cube is 6:1
Surface Area to Volume ratio of 2 mm cube is 3:1
The 2 mm cube has the smaller ratio
Work Step by Step
Calculating Total Surface Area= Height x Width x # of sides x # of cubes
For 1 mm cube= 1 mm x 1 mm x 6 x 1= 6 mm^{2}
For 2 mm cube= 2 mm x 2 mm x 6 x 1= 24 mm^{2}
Calculating Total Volume= Height x Width x Length x # of cubes
For 1 mm cube= 1 mm x 1 mm x 1 mm x 1= 1 mm^{3}
For 2 mm cube= 2 mm x 2 mm x 2 mm x 1= 8 mm^{3}
Surface Area to Volume ratio of 1 mm cube is 6:1
Surface Area to Volume ratio of 2 mm cube is 24:8 or 3:1
