That is what they call the hive boxes. Here's the link to pictures of our hives.
The thread "HIve Photos" in
Beekeeping forum
On the ones that are different colors each color is a separate super he added to the bottom box which is called the hive box even though it is usually the same size as the supers.
The hive box is where they do their socializing. The second box, which is called a super. is where the queen lays her eggs and is called the brood box. If you add more supers without a queen excluder to keep her out of them she will lay eggs in all of the supers. Any super above the second box is called a honey super where they store excess nectar.