Dave's Math Tables: Areas, Volumes, Surface Areas |
(Math | Geometry | AreasVolumes) |
(pi = = 3.141592...)
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 = [(3)/2]
a 2 = (3/4) a 2
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)
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
cube = 6 a 2
prism:
sphere = 4 pi r 2
Areas
Volumes
Surface Area
(lateral area) = perimeter(b) L
(total area) = perimeter(b) L
+ 2b