A rectangular block of wood floats in water with two-third of its volume immersed. When placed in another liquid, it floats with half of its volume immersed. Calculate the relative density of the liquid. (5

Answer 1

Db = density of the block.
Dw = density of water.
Dl = density of the other liquid.

Db/Dw * Vb = 2Vb/3.
Db/Dw = 2/3.
Dw/Db = 3/2 = 1.5.
Dw = 1.5Db.

Db/Dl = 1/2.
Dl = 2Db.

Dl/Dw = 2Db/1.5Db = 4/3 = 1.333 = Relative density of the liquid.