#### Answer

$H=2$ in

#### Work Step by Step

We know that the volume of a rectangular box is given by:
$Volume=Length*Width*Height$
$V=LWH$
We can solve this for height:
$H=\frac{V}{LW}$
We plug in $V=187$, $L=11$, and $W=8.5$:
$H=\frac{187}{11*8.5}$
$H=2$ in