«10 × 15» IS NOT 10 BY 15
The size every laboratory calls «10 by 15 centimetres» is 102 × 152 millimetres in ISO 1008. There is nowhere to put the missing two: the size is not metric at all, it is imperial — 4 × 6 inches, converted and rounded. The whole R series works this way: 13 × 18 is 5 × 7 inches, 20 × 25 is 8 × 10, and not one of them was ever conceived in centimetres.
The consequence is not cosmetic. The 135 film frame, and every sensor that inherited it, is exactly 3:2 — 36 by 24 millimetres. But 102 by 152 gives 1.490, so even the size that is supposed to fit trims a little. The rest trim visibly: 13 × 18 takes 6.6 % of the frame, 20 × 25 takes 16.6 %, and it goes from the sides — that is, together with whatever you deliberately put there.
The question at the counter is therefore not «what size» but «where will the proportion come from». A 4:3 frame out of a telephone behaves the other way round: at «10 × 15» it loses along the short edges, and at 20 × 25 it loses almost nothing. The same paper cuts two cameras in different places.