Black body radiation is common sense as well but it depends on your course of study. I doubt a person from a non engineering field would know that thermal radiation depends largely on the temperature of the object.
(Kirchoffs law of thermal radiation)
An assumption we make is that a perfect thermal radiation absorbs 100% of the energy that hits it therefore it appears black.The absorbtion of the radiation is of course a simple matter of mathematical assumption,howewer in practice no material for this matter behaves in such a predictable manner.For radiation to be absorbed,a large amount of it is also dispersed into the environment in the forms or radiation,conduction and convection, basic thermodynamic laws. Hence my point in being the heat from a object carrying large amounts of heat itself will be absorbed by the material, (black absorbs which is true) but will also be radiated to the surroundings ( cant just absorb and stay like that right?) hence the properties of thermal radiation remains true.