In this study a method is proposed for measuring both the refractive index and the shape of a transparent object. The proposed method combines a digital holographic microscope with a liquid. The holograms of a sample immersed in different liquids are recorded and then the three-dimensional phase information of the sample is reconstructed numerically. In particular, we have proposed a theoretical model for determining both the refractive index and shape of a sample, and micro-corner cubes are examined experimentally.