For the die shown in these three positions, what is the total of the numbers on the bottom faces in (i), (ii) and (iii)?

The bottom is opposite the top. 1 is seen with 2, 4, 5 and 6, so 1 is opposite 3; 2 is seen with 1, 4, 6 and 3, so 2 is opposite 5. Bottoms: (i) and (ii) have 1 on top, so 3 below each; (iii) has 2 on top, so 5 below: $3+3+5=11$. (13 would come from taking 4 as the face opposite 2.)