Kickers are well regarded automotive phatt dual voice coil subs ,I've fried a few of them but when they work ,they bump very well.
I don't think the free air response ,dampening and so on is at recommended or even plausible Home theater parameters .
You may actually find a modest 8 or 10" HT sub a much better more versatile performer on video content and music in the home and your circumstance noting in the intended phatt car sub enclosure they are for EDM,gansta and hip hop LFE
> high SPL & cabin gain in a very confined area
and were never intended to be used in a home at all or on video LFE content .
R U running an 115 VAC LFE plate amp or 12V DC car amp for the sub noting a large car amp can demand a lot more current potential than your whole house AC mains circuits can get without tripping the main breakers in addition to being a considerable fire hazard inside with whatever it's powered with outside of a UL listed regulated mains power 12VDC power supply .
FWIW automotive batteries produce volatile explosive gasses like hydrogen and trust me you DO NOT
want an automotive battery explosion anywhere in your proximity or inside your home and its not fun to breathe if you you live to tell about it.
Exploding lead calcium and other automotive batteries make for very unfavorable chemical pneumonia and it can blind you with acid burns and so on ,I've seen one up close and personal unprotected some decades ago like everyone was back then working around them in the field .
I was off work for 3 months and it was no vacation but no vision damage ,facial scarring or anthing like that thanks to alert co workers flushing my eyes and upper body with a garden hose and rushing me to a trauma center blocks nearby and instant treatment there and prolonged eye flushing ,respiratory treatment and so on and a 3 month fully paid with the IAM union differential make up pay recovery from chemical pneumonia ,,
Coincidentally It wasn't long after that I entered corporate management they were grooming me for out from those kind of hazards into the vicious shark tank and extended worldly travel at times I comfortably retired from recently .
I have a 250amp alternator for 4800 watts of amplifiers in my late model truck and thats enough for maybe 5 modest homes at 115 vac potentials and does not include an 850 CCA burst amp starter /running battery for the truck it has to charge .
if you have full range shelves a home Sub will usually have some loudspeaker cable inputs and a full range pass through back to your speakers and its own low pass filter for the powered sub and additionally............................,
instead a line level LFE output you can use the HT sub Low pass filter on RCA cable line level full range signals like a pre out or something or maybe tape out.
you can get inexpensive readymade
Low-pass Filter Subwoofer Process Circuit w/ Frequency & Volume or a household current LFE plate amp with all that but you won't need any of that with home HT powered sub
active LFE low pass
passive low pass