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Euler's Formula

F+V=E+2 or F+V-2=E

Interior Angles Theorem

The sum of the inside angles of a convex polygon with n sides is 180(n-2).

Exterior Angles Theorem

The sum of the outside angles of a polygon is always 360 degrees.

Area of an N-gon

You can find the area by dividing it into triangles; A=(Area of one triangle)Number of trangles

S=2B+Ph=aP+Ph

Surface Area of a Right Prism

S=B+1/2Pl

Surface Area of a Regular Pyramid

S=πr2+πrl

Surface Area of a Right Cone

S=4πr2

Surface Area of a Sphere

S=2(πr2)+2πr(h)

Surface Area of a Cylinder

V=1/3Bh

Pyramid: Volume

V=Bh=πr2h

Volume of a Cylinder

V=1/3Bh=1/3πr2h

Volume of a Cone

V=(4/3)πr3

Volume of a Sphere

Scale Factor/Surface Area Theorem

If two similar solids have a scale factor of a:b, then corresponding areas of a ratio of a2:b2.

Surface Area/Volume Theorem

If two similar solids have a scale factor a:b, then corresponding volumes have a ratio of a3:b3.