I've been making a box for a new bathtub in the redo of our bathroom. The tub is acrylic (where the water goes) wrapped in some sort of reinforced resin (presumably fibreglass). The rim wraps around, with a vertical edge about 3cm deep. Fools rush in, etc., and without seeking any tips online I decided to make a box out of 12 mm ply, with 4x2 in the corners and along the edges to prevent any bowing. The box came out quite nice, and is certainly rigid and strong enough.
The slight problems I'm now facing are that (1) the floor is not very even, so the box doesn't sit flush everywhere, and (2) the underside of the tub edge that meets the ply is also not very even (the fibreglass layer varies a bit in thickness. Yes, it's a Chinese tub, like virtually everything of this kind sold here.) The box, walls and floor will be tiled, by the way (by a very good Chinese tiler!).
I'm open to suggestions, but my current plan to make the tub a snug fit on the box is to epoxy some thin wooden strips that make a tight fit between the box side and the rim overhang in each place where there is some movement, at the same time as holding the tub down in that place with a heavy weight (there is some flexing). I haven't decided on the best approach for the floor fit, but something along the lines of a gap-filling adhesive (e.g. urethane) seems feasible.