A pentagonal prism has 15 edges.
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A quadrangular prism is a "box". There are 6 faces, 8 vertices and 12 edges. BTW, this satisfies Euler's Formula of F + V = E + 2.
Euler's formula is:V + F - E= 2V = the number of vertices, each point where three or more edges intersect.E = the number of edges, each intersection of the faces.F = the number of faces, each plane polygon.
A cuboid has 6 faces, 12 edges, and 8 vertices. Note that 6+8-12 = 2, which is due to Euler's formula F+V-E=2.
The number of faces,F,vertices,Vand edges,E of a polyhedron are related by F+V=E+2 (Euler's Theorem) so F=(E+2)-V
The Euler characteristic for simply connected polyhedra isF + V = E + 2 where F = # faces, V = # vertices and E = # edges.