I want to error check incoming lat/lng points by checking if the point resides within the given UTM zone. (This would work for the data im using because sometimes there is a missing sign or lat/lng is reversed and the UTM zone can still be correct)

So given a UTM zone, how would you find the bounding coordinates for that zone?(Either the lat/lng for SW and NE corners or a range of lat/lng values for a given zone)

Also: Since I am supplied with both UTM and lat/lng I can convert both and cross compare as a way to validate incoming points but I thought it would be interesting to know how to calculate a UTM zone's bounding box in lat/lng form just given a zone (and possibly a hemisphere).