They all have to be if it is a perfect cube.
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All edges of a cube are the same length. A cuboid has three quartets of lines: at least one of which is of a length different from the other two. Equivalently, all sides of a cube are squares, at least some sides of a cuboid are rectangles.
must all edges of semiregular polyhedron be the same length
There is no volume that has units of length. If you meant to write 8cm3 then the cube has all edges 2cm (ie the "cube root" of 8 times the "cube root" of cm3)
By definition, yes.