Answer
$ 9\;cm$
Work Step by Step
The given values are
Base area $B=147\;cm^2$.
Volume $V=1323\;cm^3$
Let the length is $l$ and width is $w$.
Formula:-
Base area $B=l\times w$.
Volume $V= l\times w\times h$.
Divide volume by base area.
$\Rightarrow \frac{V}{B}=\frac{l\times w\times h}{l\times w}$
Cancel common terms.
$\Rightarrow \frac{V}{B}=h$
Substitute the values of $V$ and $B$.
$\Rightarrow \frac{1323\;cm^3}{147\;cm^2}=h$
Simplify.
$\Rightarrow 9\;cm=h$
Hence the height is $ 9\;cm$.
