What you'll need:
Salt in shaker
Cut a piece of thread about 12 inches (30 cm) long. Fill the glass about 3/4 full of water and put the ice cube into the water. Lay the thread over the top of the ice cube. Hold the ends of the thread up, and pour salt onto the ice cube, covering the area with the thread. Wait about one minute, then take hold of both ends of the thread. Lift them up. What do you notice?
The ice cube comes out of the water with the thread! The salt melts the ice, which then wets the thread. As the salt continues to dissolve, it moves away from the ice cube, and the ice re-freezes. However, by now the salt solution has covered the string, fastening it to the cube.