A cube
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A cube and a rectangle all have 12 edges.
Yes, all of its 12 edges are congruent
Since a cube's edges and faces are all congruent, it'll have all congruent edges. And since it's a cube, it has 12 edges. Therefore, it has 12 congruent edges.
Any solid object with six faces is a hexahedron. A regular hexahedron (with 12 edges) is a cube where all the faces are squares An irregular hexahedron (with 12 edges) is a cuboid where two faces are equal squares and four are equal rectangles.
A cube has 12 edges as does an octahedron and those are the two platonic solids (convex polyhedra with congruent regular polygons as faces where the same number of faces meet at each vertice) with 12 edges.