A hollow plastic cube with external side length 0.30m has negligible wall thickness and a mass of 2.7kg. The cube is carefully placed in fresh water of density 1000kgm−3.
(i) Show that the cube floats when released.
(ii) Calculate the length of the cube’s side that remains above the water surface while it is floating empty.
(iii) Small metal pellets are poured into the cube until its top face is just level with the water surface. Determine the total mass of pellets added.