Should work in a hospital environment. Both have ventilation holes which also allows visual inspection of the LED lights.
The product specs is does not include the 3500i or 1040 but if you look at the product specs of the 3500i, 1040 and the 1130/1140, you'll notice that the dimensions are pretty much similar and they'll most likely fit. If you are still in doubt, order one and check it out before ordering the entire lot (that's what we did).
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I think what you are looking for is an ingress protection rating, confusingly enough given as an enclosure IP rating. This is mainly given for ventilation and access. IP0.0 means full access full ventilation, IP3.0 means restricted access full ventilation, IP6.5 can be placed outside and will stop rain and airflow getting in, but relies on heat dissipation to be carried out within the enclosure. Please look at any electrical enclosure manufactuer for further details. I would not be tempted to just seal up a wireless box, as restricting airflow can cause boxes to over heat.