Geometry for Engineers
The plane figures and solids of the engineering formula set — area, perimeter, volume, and surface — with the governing formula shown and the figure sketched. Covers §3.0 and §4.0.
Plane Figure
Solid
Two scaling laws govern all of these: area grows with the square of size, volume with the cube. Double every dimension of a tank and it holds 8× the fluid but only needs 4× the paint — the square-cube law that shapes everything from heat sinks to elephants.