The formula for the volume of a cube is V=s^3.
Take the first derivative----> d/dt(V)= d/dt(s^3)
---->dv/dt= 3s^2 (ds/dt)
dv/dt is the propagated error for volume, so the other variables
should already be defined in the question where:
s= side length and ds/dt would equal possible error in each
side.
Sometimes it's necessary to solve for these variables using
other formulas the most common of which is surface area which
is:
SA=6s^2 where SA`= dsa/dt= 12s (ds/dt).