The answer will depend on what the surface area is of. The surface areas of regular shapes are can be calculated from formulae but these will depend on the shapes. For non-regular areas there may or may not be simple formulae.
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To calculate the surface area of a shape find the area of each side, and then, add all of the areas together. The sum of the areas is the surface area.
There is no simple formula for the surface area of a general hexagon. The simplest solution is to partition it into triangles, calculate their areas and sum the results.
It depends on whether or not the tetrahedron is regular. There is nothing in the question to indicate that it might be regular. In that case the easiest way to calculate the surface area is to sum the areas of each of its 4 faces.
surface area divided by volume
split the wedge into a triangle and a and rectangle or square. Then calculate the surface area for each shape and add them together