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

Figure	Volume	Total Surface Area
Sphere
RegularTetrahedron
Cube (regular hexahedron)	a3	6a2
RegularOctahedron
RegularDodecahedron
RegularIcosahedron

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

 

See also

Lateral surface, right prism, right regular pyramid, frustum of a cone or pyramid, torus, surface area of a surface of revolution