where $D=1\mathrm{.}93cm.$ The blocks are heated and their temperatures increase by $33\mathrm{.}0$ C $.$ The coefficients of linear and volume expansion are $=1\mathrm{.}63{10}^{-5}(C^0{)}^{-1}$ and $=4\mathrm{.}89{10}^{-5}(C{)}^{-1},$ 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$)$ blockB, $($f$)$ block C$.$

The figure shows three rectangular blocks made from the same material. The initial dimensions of each are expressed as multiples of $D,$ where $D=1\mathrm{.}93cm.$ The blocks are heated and their temperatures increase by $33\mathrm{.}0C.$ The coefficients of linear and volume expansion are $=1\mathrm{.}63{10}^{-5}(C^0{)}^{-1}$ and $=4\mathrm{.}89{10}^{-5}(C{)}^{-1},$ 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$.$

$($a$)$ Number $$ Units $$

$($b$)$ Number $$ Units $$

$($c$)$ Number $$ Units $$

$($d$)$ Number $$

$$ Units

Nounits $($

$($e$)$ Number $$

$!$

Units

No units

$($f$)$ Number

$1$

Units

No units