Tetrahedron
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Strictly speaking, any 3d figure with anything besides 6 sides cannot consist of rectangles. However, the name for an 8-sided figure is "octahedron".
YES
A cuboid.
Cuboid.
Yes, if it is bound by plane figures, just add the area of each plane figure. If it has a curved surface, divide it into many small pieces, to approximate the area with small rectangles or triangles, then add them up.