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Geometry volume formulas of a cube, sphere, rectangular prism, pyramid, cylinder, ellipsoid, cone, any prism that has a constant cross sectional area along the height, and a general volume formula for any figure.
Shape 
Formula 
Variables 

Volume of a cube: 
s = length of a side 

Volume of a rectangular prism: 
l = length, w = width, h = height 

Volume of a cylinder (circular prism): 
r = radius of circular face, h = distance between faces 

Any prism that has a constant cross sectional area along the height volume: 
A = area of the base, h = height 

Volume of a sphere: 
r = radius of sphere which is the first integral of the formula for Surface Area of a sphere 

An ellipsoid volume : 
a, b, c = semiaxes of ellipsoid 

Volume of a pyramid: 
A = area of base, h = height from base to apex 

Volume of a cone (circularbased pyramid): 
r = radius of circle at base, h = distance from base to tip 

Any figure volume (calculus required) 
h = any dimension of the figure, A(h) = area of the crosssections perpendicular to h described as a function of the position along h this will work for any figure (no matter if the prism is slanted or the crosssections change shape). 