I don't see how you can get enough light doing it that way. The only reason the LED tapes work for me is that I have 8 side by side rows of them. And, when they are that close together I suspect that a metal backing is needed to help keep heat from building up and destroying or at least deteriorating the LEDs. Acrylic won't do anything to help get rid of that heat.
Also, just because the LEDs are waterproof doesn't mean they will work under water, and putting them that close to the water will likely result in them being wet a lot. The electric connections to the tapes isn't waterproof without a considerable effort to make them so. Finally, you will still have electric leads coming out of the tank, but no way to hide them.
I wouldn't even consider using this idea without also using primarily white LEDs, with just a few colored ones added. I doubt that the RGB LEDs will give enough light, since most of the LEDs will have to run at a lower power.
Finally, LEDs are painful to look at because of their extreme brightness, so I would always want a way to shield them from being seen by anyone near the tank. I'm not sure how you will do that with this scheme.
Also, just because the LEDs are waterproof doesn't mean they will work under water, and putting them that close to the water will likely result in them being wet a lot. The electric connections to the tapes isn't waterproof without a considerable effort to make them so. Finally, you will still have electric leads coming out of the tank, but no way to hide them.
I wouldn't even consider using this idea without also using primarily white LEDs, with just a few colored ones added. I doubt that the RGB LEDs will give enough light, since most of the LEDs will have to run at a lower power.
Finally, LEDs are painful to look at because of their extreme brightness, so I would always want a way to shield them from being seen by anyone near the tank. I'm not sure how you will do that with this scheme.