A model for the surface area of some solid object is given by S$=0\mathrm{.}271$w$0\mathrm{.}817$h$0\mathrm{.}415$S$=0\mathrm{.}271$w$0\mathrm{.}817$h$0\mathrm{.}415,$ where ww is the weight $($in pounds$),$ hh is the height $($in inches$),$ and SS is measured in square feet. If the errors in measurements of ww and hh are at most $2\mathrm{.}5\%2\mathrm{.}5\%,$ estimate the maximum error in the calculated surface area.

The estimate of the maximum error in SS is