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No, a rectangular pyramid has 8 edges. There are 4 around the base (the rectangle). Then, there are 4 others: one from each corner of the base (a rectangle has 4 corners) to the point of the pyramid.
A rectangular dipyramid.
A rectangular prism is a hexahedron with six rectangular faces, each on which meets two others at right angles. In the special case that the rectangles are squares the shape is a cube so a cube is a special case of a rectangular prism.
The answer will depend on the shape (and size) of the box: some have a rectangular cross-section, others circular.
It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.