The figure shows three rectangular blocks made from the same material. The initial dimensions of each are expressed as multiples of $D,$ where $D=1\mathrm{.}89cm.$ The blocks are heated and their temperatures increase by $35\mathrm{.}0C.$ The coefficients of linear and volume expansion are $=1\mathrm{.}42{10}^{-5}(C{)}^{-1}$ and $=4\mathrm{.}26{10}^{-5}(C{)}^{-1},$ respectively. Determine the change in the vertical heights of $($a$)$ block A $,($b$)$ block B $,($c$)$ block $C,$ and the change in the volumes of the $($d$)$ block $A,($e$)$ block $B,($f$)$ block $C.$