3d math cube model

Create a 3D educational assembly proving that (a+b)**3=a**3+3a**2b+3ab**2+b**3 with a=30 mm and b=50 mm. Design 8 separate printable solids that assemble into one 80×80×80 mm cube. Parts: (1) one a³ cube (30×30×30 mm, blue), (2) one b³ cube (50×50×50 mm, red), (3) three a²b cuboids (30×30×50 mm, green), and (4) three ab² cuboids (30×50×50 mm, yellow). Each piece must be labeled (engraved or embossed) and fit together precisely with no gaps or overlaps. Add simple alignment features (pegs/slots or tongue-and-groove) for easy assembly. Show an exploded view and the completed cube to clearly demonstrate the geometric proof of the identity. Use clean CAD style with slight chamfers and watertight, 3D-printable geometry. make the boxes smooth as well and maintain some space between the boxes for better printing. also no stacking