Mathematical Formulas for Maximized Yield Production

When it comes to maximizing our production yield from our limited soil area, multiple techniques come into play.  Most prominent of these are the use of raised beds and vertical growing with trellising.  As such, mathematics become important as we calculate volume, area and everything in between.  Waste elimination is important, not only from a financial perspective, but also from a sustainability perspective.  The following are the mathematical formulas that I've needed in order to make calculations as indicated for planning and operation.

RECTANGULAR CALCULATIONS

Area (a) = Length (l) times Width (w)

a = lw

Volume (v) = Area (a) times height (h)

v = ah

v = lwh

CIRCULAR AND CYLINDRICAL CALCULATIONS

Circumference (c) = pi Diameter (d)

c = πd

Diameter (d) = 2 x Radius (r)

d = 2r

c = π2r   

(also written as 2πr but since it's all multiplication, it equates to the same thing)

Area of a circle (a) = pi Radius squared

a = πr²

Volume of a cylinder (v) = pi Radius squared times height

v = πr²h

π²