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2,5D meshing on this specified geometry

2,5D_meshing_question
Dear Apex User,
My question is that is it possible to somehow mesh the geometry on picture with hex elements, 2,5D mesh? It s a cut out of a spiral bevel gear. When selecting 2,5D mesh the software won't allow me to mesh the body.
 
 
One more thing, can I convert the quadrilateral surface mesh into triangular mesh which basis is the former mesh?