vytautas_k said:
All of the separate sheets are connected with grounding wires and the whole box has continuity
It all depends on the degree of isolation you are after. How will you decide what screening you are achieving? Local broadcast signals can give a good indication if you have a measuring receiver of some kind. It depends on what signals you are using the cage for; can you choose quiet spots on the spectrum?
A good Faraday cage, as used for critical measurements, will have very good electrical contact between all metal sheets. This should be over the whole length of each seam. A gap will easily allow induced currents to pass around the edges of the gap and merrily pass the EM (at some frequencies) through to the other side, almost as if the sheets were not there. For good contact, the edges of the sheets should be bare metal and perhaps continuous copper braid sandwiched between them along the seams. Certainly, DC continuity is only a rough indication of screening performance.
Any door should also be screwed down all the way round or there should be spring fingers along all sides.
Then there is the issue of power and signal leads in and out. Much better to use battery powered equipment with everything sited inside the cage and no people. Any necessary leads in and out should have suitable blocking filters. Fibre optic links can pass through very small holes and that stuff is very available these days.
This all reads as a bit negative but it it possible to put in a lot of effort and materials making a 'Faraday Cage' which lets you down at just the frequency where you want to operate. You will have looked at available cages, I imagine and decided that they are asking too high a price for them; so you have chosen DIY. High costs will give you reliability and good spec. DIY may give you adequate (or even good) results and that would be 'good engineering' but results can surprise you either way.
But, on the positive side, your required level of screening may not be too demanding. It would be as well to decide on your required spec from the outset. Look at the spec of laboratory grade cages and see whether it's what you need.
If you are really not happy with the performance then drill out the rivets, grind off the power coating along the edges and use copper braid throughout. (But first eliminate paths through in/out cables)