First off, you'll have severe crazing on any repair you do, since this is a standard aquarium, and has been flame polised. What you will see is a network of surface fractures that will radiate out from the corner, because of the stress in the plastic from the polishing process. As soon as you apply a cement, these are going to appear.
It doesn't look like this is a linear break, more like it's a chip from a blow striking the edge of the piece where the edge form a sharp right angle. Is this correct? FWIW, this is why high-quality tanks and acrylic products have the edges rounded over during machining, forming a radius, rather than a right angle. That right angle edge is very notch-sensitive, and tends to be where fractures like this occur.
First and best option: file a UPS claim, and make them buy you a new tank. Those droids break everything, which is why I refuse to use them for shipping my products.
Second option: the repair is really going to risk making this worse, but it should be able to be done. Weldon #3 and #4 are both capillary solvent cements, which means they are not meant to do this kind of repair, and they have no gap-filling abilities. Likewise, cyanoacrylate is useless, as it won't bond long-term, and will mar the surface of the plastic. I can't really see the way the fracture is from the picture, and gluing on the corner will definately be problematic. Pouring #40 is an option, on the inside of the tank, which has not been flame polished, and should limit crazing. Take a couple more pics, macros if possible, up close and from different angles. Then I'll try to answer what you can do.
In all honesty, with a bottom fracture like this, I don't think I would trust a repair on it, especially on a tank made of thin acrylic like this one. The repair should be made to the outside, but the corner and polishing make this difficult.
BRIAN
BRIAN
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Mercedes 600