For a two dimentional object the area and surface area are the same:
square or rectangle: l * w (if square length equals width)
circle: πr2
Some basic formulas for calculating surface area are:
cube: 6*(s2) , where s is the length of any side,
rectangular box: 2*((l * w) + (l * h) + (w * h)), where l, w, and h are the length, width, and height of the box,
sphere: 4*π*(r2) , where π is the ratio of circumference to diameter of a circle, 3.14159..., and r is the radius of the sphere.
An artist should feel free to add some example diagrams.