yep, make sure the placement is like how it's outlined in this helpful diagram from Mr Mod Pitontheprowl.
Edit: also looks like that thermostat u have is rated up to 600watts which would be good for running a rack w/ a long strip of heattape and your UTH is rated up to 24watts. u don't have to buy the higher wattage thermostat if they offer a lower watt one for less.
I did it exactly like this...and my readings are off. I have my thermostat set high like at 110° to see if inside the hide it can reach at least 90°. But it's not. The highest reading I'm getting is 85