To find out how much Alexander's height increased each minute, we need to divide the total increase by the number of minutes.
The total increase in height is 108 inches, and the time duration is 6 minutes.
So, we calculate:
\[ \text{Increase per minute} = \frac{108 \text{ inches}}{6 \text{ minutes}} = 18 \text{ inches per minute} \]
Therefore, the effect on Alexander’s height each minute is 18 inches.