Adobe Illustrator shapes to 3D objects

I have some 2D shapes in Illustrator that I want to extrude into (flat) 3d models for import into Unity 3D. The shapes are like puzzle pieces, designed to fit together, so I cannot just map the graphics onto a cube.

I could do it in Maya (Converting Vector Logos to 3D from Illustrator to Maya), but is there a simpler way?