Yes it will work but not for long with regular silicone. Gold Label Aquarium and pond sealant will adhere to both glass and plastic, but with the price you would pay for it you could just use a glass bottom. Plastic is also typically more expensive than glass. If you already have the plastic laying around it could be worth it but even ABS is pretty much the same price as cast acrylic or glass. Styrene is extremly flexible and i wouldnt trust it even with the best supports underneath. Styrene is also very toxic so it may not be water potable. Look into polypropolene and polyethylene in .5"
if you are serious about this idea lol...they will be ur best bet, but like i said its far cheaper to use regular glass for the bottom aswell.