A cubical block of density PB and with sides of length L floats in a liquid of greater density PL
(a) What fraction of the block's volume is above the surface of the liquid?
(b) The liquid is denser than water (density Pw) and does not mix with it if water is poured on the surface of the liquid, how deep must the water layer be so that the water surface just rises to the top of the block? Express your answer in terns of L, PH' PL' and Pw.
(c) Find the depth of the water layer in part (b) if the liquid is mercury, the block is made of iron, and the side length is 10.0 cm.