A figure that has a curved face or curved edge.
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Yes.
It's not true. As with all solid figures, polyhedra have volume and surface area.
No. Polyhedrons are any shape with multiple sides. A triangle and a prism are just two different kinds of polyhedrons.
Yes, an empty box is and No, polyhedrons don't have to be.
In general: figures, polygons, polyhedrons, shape, irregular, regular... Other examples: circle, triangle, square, quadrilateral, rectangle, rhombus, parallelogram, trapezoid, hexagon, heptagon, octogon... 13-gon -- seriously, 15-gon, centagon... it goes on...