Akimbo and Dan, you are overthinking this; the question was about a mask which had nothing other than ambient surface pressure, and whether the flexible hose would be crushed at 3 atmospheres (assuming this to be 66 feet of seawater, or 3 atmospheres absolute pressure). The answer is that yes, it would be crushed, and at that depth the diver's eyes would be sucked out of their sockets too! People tried this centuries ago, with disastrous effects. Here's an image from
Diego Ufano, 1613 which illustrates this concept. But it is not possible due to water pressure. The condition is now called formally called a mask or helmet squeeze, and people have died from it.
If you hook it up to an "air supply machine" such as a compressor, it must pump air down with enough pressure to overcome the water pressure to get air to the diver, but then the diver would be at ambient pressure and subject to the decompression rules of breathing air at pressure, as Dan and Akimbo stated.
SeaRat