I made
my nano tank from acrylic.
You will need a router and a machined straight edge to ensure clean, straight cuts. If you are making the tank to fit an existing cabinet as I did, then you'll need to machine it yourself with the router and be
very precise. If you are planning to build a stand to fit the tank, then I'd suggest you just use the standard pre-machined acrylic, usually available in 1m x 0.5m, 1.5m x 0.5m, 2m x 0.5m sizes, and then just build the stand/cabinet to fit. This will save a lot of acrylic cutting. In fact, you'll only need to machine 2 sides to remove 2cm (to allow for the 2 x 10mm front and rear panels. Apart from that, you'll just need to cut out the top section to form support struts/braces.
As mentioned earlier, you cannot use silicone to join the acrylic together. You will need a solvent weld like weld-on 4 (USA only) or if you reside in the UK, there are a few products that are good substitutes.
The tools I used included the following
Router with straight cutting bit (you might also need a profile cutter bit too)
Metal straight-edge
Jigsaw
Metal rule
Square (adjustable ones are better so that you can set the depth)
G-clamps
Corner clamps
Bandsaw
Circular saw
Press drill / pillar drill
Wet and dry paper
Blow torch
Solvent weld
Needle applicator
I'm sure there were other tools, that escape me at the moment.