Building Blocks Game OnlinePlay Building Blocks Online at Infofully.com. This is a Blocks game for people who like to solve fast and difficult puzzles and also like to play strategy games. Here you need to figure out how to construct the falling blocks. For this purpose, you can drag the falling shapes and your aim is to complete the row to remove them. Play this game in mute mode. Playing Method and Controls: Up Arrow to change the shape, Down Arrow to Speed and Left/Right Arrow to drag Left/Right. Try to stack whole rows to remove them and earn score.