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# Surface area

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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:     l * w  (if square length equals width)

     circle:      πr2

     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:    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.

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Last edited August 15, 2001 11:19 pm (diff)
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