Subject: Does Ice have a constant temperature?

Please help settle a disagreement between my sister - in law and Myself.  Will 
an the temperature of an object that is engulfed in a block of ice always remain 
at the freezing point (32 degrees)?  Will the temperature within that block of 
ice vary depending wether it the ice is stored in a freezer in a tropical 
location Vs. an artic location?

I had heard that during a cold spell,  orange farmers in Florida flooded their 
fields so as to keep the oranges engulfed in ice; or at 32 degrees, so that they 
would not spoil.  Does this mean that the temperatue within ice neever varies??

Re: Does Ice have a constant temperature?