Where:
q is the thermal energy in joules
h is the heat transfer coefficient
Tenv is the temperature of the environment
T(t) is the object temperature at a given time

Originally posted by talzamir Are these two even equivalent, one being a rate of change of the thermal energy in terms of time, the other in terms of area..?

Yeah, they are equivalent. I would have changed the variable in the time rate to "Q" to clarify, but he has the terms defined correctly