it is still surface area
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http://wiki.answers.com/Q/What_is_the_mathematical_formula_for_calculating_a_surface_area_for_a_building"
One might find the mathematical equation for the surface area of a sphere in a mathematics textbook. One might also find the equation at online math study groups.
To calculate the surface area of a truncated pyramid, you first take the surface area of each side. That would be the base time the straight height. If it is a 4 side pyramid with equivelant sides, multiply that answer by 4.
It called the curved surface area. There is no special name for it.
That depends on the figure whose surface area and volume you're finding. You could try a Google search for "volume of [figure name]" or "surface area of [figure name]".