Challenger amp placement

I'm upgrade the stereo in my Challenger, came with the Kicker 13 speaker system
HU Pioneer DMH 2660 nex Already installed with meastro and needed harnesses
Fronts Kenwood KFC-XP6903C 6x9 and 3 1/2 components so everything fits in stock locations
Rears KFC-X174 6 1/2
Amp JL RD900/5 70x4 and 500x1 to power it all
I want to put the amp under the trunk liner where the spare tire would be if I had one. Will it overheat being under the trunk carpet? Pic of where I want to put it
 

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The temperature may depend on how much heat that enclosure sees, normally. If it's like many spare tire areas, the heat from the road determines how much heat is there.

I'd suggest installing a fan pulling air from the trunk (or even better, from the interior of the vehicle) to cool the amp.

The amp will have thermal protection so you will know if the heat becomes critical. That said, it's generally better to keep the amp from operating at really high temperatures, if possible.

Multimeters with a temperature probe are relatively common. If you have one (or can borrow one), stick the probe in that location (with or without the amp operating) and monitor the temperature over several days of driving.