I've built at least 4 pellet traps of different designs. The first one basically copied the plastic Crosman trap my kids gave me. I used the metal back of that trap and put it in a wooden box. I sloped the back and filled it with mulch. It worked but I occasionally hit the 3/4 plywood sides of the trap and eventually it was pretty well ruined. Next I made one out of an old electrical box I found in my shed. It is made of heavy gauge metal, I estimate 16 gauge. The back bulged out some but it is still usable. But the back bulging told me it's less than 3 inch depth was insufficient for my guns. So I made one of 3/4 plywood that is 6.75 inches deep. I put a metal back inside the plywood one too. It is sufficient for even my 50 fpe 25 caliber. I never have heard pellets hitting the metal back.
But it is somewhat heavy so I made one that is only 5.25 inches deep of mulch. I shot it yesterday with my 25 caliber Avenger tuned to shoot FX 25.4s a little under 900 fps. About 43 fpe. I'll include a picture of what happened. I heard the pellets hitting the metal back which is inside the trap protecting the plywood back. This trap is made of 1/2 inch plywood (mainly). I pushed some glue into the crack and clamped it up, it is drying in my shop right now. So 5.25 inches of mulch is not enough for a low 40s fpe airgun. The only time I have hit the back before this was shortly after I made it when the mulch sagged down. I took the cardboard off and put in a bit more mulch and no longer hit the back with my low 30s fpe 22 caliber airguns.
So if you shoot airguns 30 fpe or below, about 5.25 inches of mulch is sufficient in your trap. If you shoot 50 fpe airguns or less, 6.75 inches will work. Possibly a little less.
Both my recently built traps have 1/8th inch thick steel clamping the cardboard and target in place and protecting the 3/4 softwood frame around the opening and the plywood sides. The 1/8th steel shrugs off impacts of even my 50 fpe 25 caliber. It's the only thing I had to buy for the traps but I think incorporating it was well worth it. I put softwood around the opening to hold the drywall screws holding the metal, cardboard, and target on (if I screw directly ito the plywood it splits).
But it is somewhat heavy so I made one that is only 5.25 inches deep of mulch. I shot it yesterday with my 25 caliber Avenger tuned to shoot FX 25.4s a little under 900 fps. About 43 fpe. I'll include a picture of what happened. I heard the pellets hitting the metal back which is inside the trap protecting the plywood back. This trap is made of 1/2 inch plywood (mainly). I pushed some glue into the crack and clamped it up, it is drying in my shop right now. So 5.25 inches of mulch is not enough for a low 40s fpe airgun. The only time I have hit the back before this was shortly after I made it when the mulch sagged down. I took the cardboard off and put in a bit more mulch and no longer hit the back with my low 30s fpe 22 caliber airguns.
So if you shoot airguns 30 fpe or below, about 5.25 inches of mulch is sufficient in your trap. If you shoot 50 fpe airguns or less, 6.75 inches will work. Possibly a little less.
Both my recently built traps have 1/8th inch thick steel clamping the cardboard and target in place and protecting the 3/4 softwood frame around the opening and the plywood sides. The 1/8th steel shrugs off impacts of even my 50 fpe 25 caliber. It's the only thing I had to buy for the traps but I think incorporating it was well worth it. I put softwood around the opening to hold the drywall screws holding the metal, cardboard, and target on (if I screw directly ito the plywood it splits).