Dave's Math Tables: Areas, Volumes, Surface Areas
(Math | Geometry | AreasVolumes)

(pi = pi = 3.141592...)

Areas

square = a 2

rectangle = ab

parallelogram = bh

trapezoid = h/2 (b1 + b2)

circle = pi r 2

ellipse = pi r1 r2

triangle = (1/2) b h

equilateral triangle = [sqrt(3)/2] a 2 = sqrt(3/4) a 2

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

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


Volumes

cube = a 3

rectangular prism = a b c

irregular prism = b h

cylinder = b h = pi r 2 h

pyramid = (1/3) b h

cone = (1/3) b h = 1/3 pi r 2 h

sphere = (4/3) pi r 3

ellipsoid = (4/3) pi r1 r2 r3


Surface Area

cube = 6 a 2

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

sphere = 4 pi r 2