you put a hole in it
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Figure 32 "
They are pretty much universal.
It depends on the density of the cube, not the length of its side.
If the taps and the spout are not connected in one unit, the spacing on your sink is probably 8 inches center to center. The only faucet I have seen for a bathroom sink with that spacing is the two handle type. There may be a single handle available. A kitchen faucet may work if the holes in the sink are large enough. Kitchen faucets are 8 inch also. If yours is 4 inch, then it is no problem, they are common.
All plumbing drainage horizontally is 1/8th of an inch per foot.