A regular hexagonal pyramid with edge 1 was glued to a regular hexagonal prism with edge 1

A regular hexagonal pyramid with edge 1 was glued to a regular hexagonal prism with edge 1 so that the faces of the bases coincided .. how many edges does the resulting polyhedron have

The hexagonal prism has 18 edges (6 in each of the two bases and 6 lateral). The hexagonal pyramid has 12 edges (6 at the base and 6 lateral). After the prism and the pyramid were glued together, the edges of one of the bases of the prism, and the edges of the bases of the pyramid became common, which means the number of edges is 18 + 12 – 6 = 24



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