Math2.org Math Tables: Areas, Volumes, Surface Areas

Areas

square = a²

rectangle = ab

parallelogram = bh

trapezoid = h/2 (b₁ + b₂)

circle = pi r ²

ellipse = pi r₁ r₂

triangle = (1/2) b h

equilateral triangle = (1/4)(3) a²

triangle given SAS = (1/2) a b sin C

triangle given a,b,c = [s(s-a)(s-b)(s-c)] when s = (a+b+c)/2 (Heron's formula)

regular polygon = (1/2) n sin(360°/n) S²
when n = # of sides and S = length from center to a corner

Volumes

cube = a³

rectangular prism = a b c

irregular prism = b h

cylinder = b h = r² h

pyramid = (1/3) b h

cone = (1/3) b h = 1/3 r² h

sphere = (4/3) r³

ellipsoid = (4/3) pi r₁ r₂ r₃

Surface Areas

cube = 6 a²

prism:
    (lateral area) = perimeter(b) L
    (total area) = perimeter(b) L + 2b

sphere = 4 r²