This might sound like a foolish title, but actually the concepts of heat and temperature are quite different. Obviously things that feel “hotter” must have more heat in them, right? Actually, that is not always, and is often NOT, the case. The two concepts are quite different, but are related.
In a bit we shall go into specific definitions of what heat and temperature actually are, but it is more interesting to look at the historical thoughts about them. Back before quantitative physics, the higher the temperature that an object had, the more heat that it was thought to have. That is correct for a specific object, as the temperature increases, the amount of heat in it also increases.
But it is easy to show that for dissimilar objects, the amount of heat is quite unrelated to the temperature. I shall show you that ice might contain more heat than red hot steel! Ready to look more deeply? Then let us go to it!