Areas Volumes Surface Areas

text:Areas, Volumes, Surface Areas ] (pi = [pi] = 3.141592...)

[text:Areas]

[text:square] = a^{2}

[text:rectangle] = ab

[text:parallelogram] = bh

[text:trapezoid] = h/2 (b1 + b2)

[text:circle] = pi r 2

[text:ellipse] = pi r1 r2

[text:triangle] = (1/2) b h [text:equilateral triangle] = (1/4) (3) a^{2} [text:triangle given SAS] = (1/2) a b sin C [text:triangle given a,b,c] = [sqrt][s(s-a)(s-b)(s-c)] [text:when] s = (a+b+c)/2 ([text:Heron's formula]) [text:regular polygon] = (1/2) n sin(360°/n) S^{2} [text:when n = # of sides and S = length from center to a corner]

[text:Volumes]

[text:cube] = a^{3}

[text:rectangular prism] = a b c

[text:irregular prism] = b h

[text:cylinder] = b h = [pi] r^{2} h

[text:pyramid] = (1/3) b h

[text:cone] = (1/3) b h = 1/3 [pi] r^{2} h

[text:sphere] = (4/3) [pi] r^{3}

[text:ellipsoid] = (4/3) pi r1 r2 r3

[text:Surface Areas]

[text:cube] = 6 a^{2} [text:prism]: ([text:lateral area]) = [text:perimeter](b) L ([text:total area]) = [text:perimeter](b) L + 2b

[text:sphere] = 4 [pi] r^{2}