Everyday objects don't work like that. Saying ice cubes are cold is roughly equivalent to saying that they radiate less heat than the objects around them. If they radiated at "high intensity" then they wouldn't be cold anymore.
"A cold object that radiates heat at high intensity" is a contradiction.
Only for black body radiation do we have a perfect correspondance between spectrum and intensity. But there can be other ways of radiating. Non-black bodies. Antennas. Lasers.
