Volumes of similar objects
If the length scale factor is k, then the volume scale factor is k^3
Volume of a pyramid
Area = 1/3 * base area * perpendicular height
Volume of a cone
Area = 1/3 * πr^2 * h
Surface area of cone
πr^2 + πrl
where l is the slant height
Volume of sphere
4/3 πr^3
Surface area of a sphere
4πr^2
Areas of similar objects
If the length scale factor is k, then the area scale factor is k^2
Interior angles of polygons
An n-sided polygon = (n-2) x 180°
Exterior angles
The exterior angles of any polygon always add up to 360°