D-class project, some simple questions

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I'm going to build a small d-class amp for a subwoofer I have. The sub has a driver that is 30 W / 6ohm (reads on the driver, no other info). This is left over from some 5.1 set.

I think either the TPA3116d2 or TPA3106d1 will be the chip in this.

I think I might be overthinking, but some stuff is on my mind, and I haven't really built any audio amps before. Through my studies in electronics I should know the principles,though, but I havent been doing much of anything lately and these might sound stupid to you audio-gods.

Ok, so, a couple of questions.
The amplifier power is good to be a bit more than the speaker watt-rating, right? Can there be too much power? I mean, what determines how much power is used at a time.. I want to give the load 30 W of power, so from (0.707*V)^2 / 6 = 30 W , I'd need around +-20 V of power supply?

I intend to connect the sub with the amp built in to a receiver I have, which has a sub pre-out. What kind of voltage levels would that have? Around the 0,45 Vp (line-level?)

Alright, so we amplify this signal with the ic-amp, what about the gain on that chip? Usually they have some different gain options. How do I know the level isn't amplified too much to get clipped by the supply rail? I mean, amplifying even a 0.5 Vp signal 20 dB (100x) would clip in my mind be too much.

If someone's got the time to answer these, I'd appreciate the help. Other tips for the project also appreciated.
 
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