Geometry

Triangles

A=1/2bh

A=1/2cbsin(A)

A=(sqrt(3)/4)*a^2

A=sqrt(s(s-a)(s-b)s(-c))
where s=(a+b+c)/2

Parallelogram

A=absin(A)

A=bh

Cosine theorem

a^2=b^2+c^2-2bc*cos(A)

Rectangular: sin 90=1 therefore
A=ab

Square: a=b therefore
A=a^2

Volume

Circle

A=piR^2

Rectangular prism

Sphere

Cylinder

Cone

Pyramid

V=abc

V=(4/3) pi r^3

V=(1/3)bh=1/3 pi r^2 h

V=bh=pi r^2 h

V=(1/3) bh

irregular prism

cube

V=a^3

V=bh

Area

Trapezoid

h/2(b1+b2)

Surface area

Sphere

4pi r^2

Cube

6a^2

Right circular cylinder

2pi r^2 +2pi r h

Rectangular prism

2lw + 2lh + 2wh
where
l is the length
w is the width
h is the height

Right circular conus

pi r^2 + pi r l

Right square pyramid

a^2+2al