Chicken Wire & Radios

Place a small transistor radio, while playing, into a coffee can. Note, the sound stops. This is kinda obvious since the can will "shield" the radio from the incoming radio waves. The EM Radiation actually reflects off the can. NOW, do the same with a roll of wire mesh. Chicken wire works fine, obtainable from any home store or local farmer or gardener. Roll the wire into a roll similar to the can. Place the radio in the roll. WOW! The sound disappears again. Why? It would seem the radio waves have lots of holes to travel thru? Nope. The mesh has holes in it that are MUCH smaller than the size of the radio wavelengths. Even tho it looks "transparent" to us - light can fit thru - radio waves see a solid object. Follow up on this with a discussion or video or something of how LARGE mesh satellite antennae can capture the waves even though it looks like they would pass right thru. Why are the LARGE ones mesh and the small ones (DSS) solid?