Volume Formulas

A table of volume formulas and surface area formulas used to calculate the volume and surface area of three-dimensional geometrical shapes: cube, cuboid, prism, solid cylinder, hollow cylinder, cone, pyramid, sphere and hemisphere.

Shape	Volume Formula	Surface Area Formula
Cube	s3 where s = length of the side	6s2 where s = length of the side
Cuboid	lwh where l = length, w = width, h = height	2(lw + lh + wh)  where l = length, w = width, h = height
Prism	area of base × height	2 × area of base + perimeter of base × height
Cylinder	πr2h where r = radius, h = height	2πr (r + h) where r = radius, h = height
Hollow Cylinder	πh(R2 − r2) where R = radius of the outer surface, r = radius of the inner surface	2πrh + 2πRh + 2(πR2 − πr2) where R = radius of the outer surface, r = radius of the inner surface
Cone	1/3 πr2h  where r = radius, h = height	πr (r + s) where r = radius, s = slant height
Pyramid	1/3 × area of base ×  height	Any pyramid = area of base + area of each of the lateral faces Regular pyramid = area of base + ½  ps where p = perimeter of the base, s = slant height Square pyramid = b2 + 2bs where b = length of the base, s = slant height
Sphere	4/3 πr3 where r = radius	4πr2 where r = radius
Hemisphere	2/3 πr3 where r = radius	3πr3 where r = radius