This should allow the crate to fall near a pressure switch on the ground after the room rights itself. Push the crate until it hits the back wall and activate the second heat switch. On top you'll find a Red Orb chest and a special item chest with Red Orbs inside (or a Minotaur Horn/Phoenix Feather/Gorgon Eye if you haven't maxed out your meters).

From the tallest one you can fly over to the left and grab the edge of the cube. Use this to get onto the ledges on the right side. Push the block to the right so it rests beneath the heat switch on the 'wall' (was the floor). A few chests can be found on the large cube in the top left portion of the area. The crate will end up near another heat switch. Activate the Heat Switch to turn the entire room. Pull it to the left, leaving it just to the left of the heat switch. A small moveable crate sits in the middle of the room. In the next room, search the right side of the doorway for a chest with Red Orbs inside. Head through the door and down the long hallway. Drop below and gather the Red Orbs in the chests (or a Minotaur Horn/Phoenix Feather/Gorgon Eye if you haven't maxed out your meters).

God of war 3 labyrinth