Surface area is the measure of how much exposed area any two- or three-dimensional object has.

For a two dimentional object the area and surface area are the same:

square or rectangle:(if squarel * wlength equalswidth)

circle:πr^{2}

any regular polygon:P * a / 2(where P = the length of the perimeter, and a is the length of the apothem of the polygon [the distance from the center of the polygon to the center of one side]).

a parallelogram:B * h(B [the Base] is any side, and h [height] is the distance between the lines that the sides of length B lie on)

a trapezoid:(B + b) * h / 2(B and b are the lengths of the parallel sides, and h is the distance between the lines on which the parallel sides lie)

a triangle:B * h / 2(where B is any side, and h is the distance from the line on which B lies to the other point of the triangle)

Some basic formulas for calculating surface area are:

cube:, where s is the length of any side,6*(s^{2})

rectangular box:, where l, w, and h are the length, width, and height of the box,2*((l * w) + (l * h) + (w * h))

sphere:, where π is the ratio of circumference to diameter of a circle, 3.14159..., and r is the radius of the sphere.4*π*(r^{2})

*An artist should feel free to add some example diagrams.*