A solid plastic cube has each edge equal to 5cm and its mass is 140g. The cube is first released in a tank of fresh water and later in a tank of glycerine whose density is 1260kgm−3. Answer the following.
(i) Calculate the volume of the cube in SI units.
(ii) Determine the density of the material of the cube.
(iii) State, with proper reasoning, whether the cube will float or sink in fresh water.
(iv) State, with proper reasoning, whether the cube will float or sink in glycerine.