There are two different types of movable blocks. Free movement blocks and mechanism blocks.
Free movement blocks can be pushed by The Character in any direction and repositioned anywhere within its boundaries. The Four Different Exits puzzle has free movement blocks.
Mechanism blocks can be pushed by the character in one direction and moves to its end position unless inhibited by either the character or Cubes. The mechanism block is attached to an Elevator. The mechanism block must be pushed in order to move the elevator downwards.