A parallelopiped has six faces that are parallelogram - like a cuboid that has been distorted by pushing opposite vertices in opposite directions (the three dimensional equivalent of distorting a rectangle into a parallelogram). A solid with two rectangular faces would be a special case of a parallelopiped.
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To determine the surface area of a rectangular prism, the two sides, adjacent sides, and ends of the prism must be added up. To do this, the sides are the product of the prism's length and height, the adjacent sides the width and height, and the ends the product of the length and width.
Two hexagonal "ends" and six rectangular sides.
The difference in a triangular and rectangular pyramid only has to do with the base of the pyramid, which in turn decide how many sides the pyramid will have. A triangular pyramid has a base shaped like a triangle, which ends up having a total of 4 sides (including the base itself). A rectangular pyramid has a rectangular base, which ends up having a total of 5 sides (including the base itself).
a hexahedron with four rectangular sides and two square ends.
They both have sides that are rectangular in shape. They both have a constant cross-sectional shape equal to the shape of the ends (triangle for a triangular prism; rectangle for a rectangular prism).