Final answer:
The number of planes of reflectional symmetry for a regular hexagonal prism is 10, which is not one of the provided options.
Step-by-step explanation:
The question is asking how many planes of reflectional symmetry a regular hexagonal prism has. A regular hexagonal prism has a base that is a regular hexagon, which contributes to six planes of symmetry corresponding to the lines through opposite vertices of the hexagon. Additionally, there is a plane of symmetry through each pair of opposite edges of the hexagon, adding another three planes. Finally, the prism shape implies that there are also planes of symmetry parallel to the hexagon bases, intersecting the prism halfway up, which adds one more plane. Therefore, the total number of planes of reflectional symmetry for a regular hexagonal prism is 6 (from the base) + 3 (through opposite edges) + 1 (parallel to the bases) = 10. Hence, none of the provided options (6, 7, 12, 13) is correct.