Both are at the same temperature, yet metal feels much colder. Why?
Touch metal and wood in the same room. Metal feels cold, while wood feels warmer.
They have been in the same room, so their temperatures are actually equal.
Metal conducts heat very quickly and draws heat away from your hand fast.
Wood is a poor conductor, so it removes heat from your hand much more slowly.
Your brain judges temperature by how fast heat leaves your skin, not by actual temperature.
Metal feels colder because it absorbs your body heat faster, not because it is colder.