Mathwords: Surface Area

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Surface Area

The total area of the exterior surface of a solid. Many formulas for the area of a surface are given below.

For the following tables,
h = height of solid	s = slant height	P = perimeter or circumference of the base
l = length of solid	B = area of the base	r = radius of sphere
w = width of solid	R = radius of the base	a = length of an edge

Figure	Volume	Lateral Surface Area	Area of the Base(s)	Total Surface Area
Box (also called rectangular parallelepiped, right rectangular prism)	lwh	2lh + 2wh	2lw	2lw + 2lh + 2wh
Prism	Bh	Ph	2B	Ph + 2B
Pyramid		-	B	-
Right Pyramid			B
Cylinder	Bh	-	2B	-
Right Cylinder	Bh	Ph	2B	Ph + 2B
Right Circular Cylinder	πR²h	2πRh	2πR²	2πRh + 2πR²
Cone		-	B	-
Right Circular Cone		πRs or	πR²	πRs + πR² or

For the tables above,
h = height of solid	s = slant height	P = perimeter or circumference of the base
l = length of solid	B = area of the base	r = radius of sphere
w = width of solid	R = radius of the base	a = length of an edge