An ice cube floats on water in a beaker with $\frac{9}{10}{ }^{th}$ of its volume submerged under water. What fraction of its volume will be submerged if the beaker of water is taken to the moon where the gravity is 1/6 ^th that on the earth? 

Although the buoyant force on the ice cube depends on the value of g, the fraction of the cube submerged under a liquid is independent of the value of g and depends only on the density of the body relative to that of the liquid on which it floats..