A wooden block floats in water with two-third of its volume submerged.

(a) Calculate the density of wood.
(b) When the same block is placed on oil, three-quarter of its volume is immersed in oil. Calculate the density of oil.

Q. A wooden block floats in water with two-third of its volume submerged. The density of wood is X $g{m}^{-3}$ . When the same block is placed in oil, three-quarter of its volume is immersed in oil. Find $3X$ in $g{m}^{-3}$.

Q. A block of wood floats in water with two third of its volume submerged. In oil, the block floats with $0.90$ of its volume submerged. The densities of (a) wood and (b) oil are [Density of water is ${10}^{3}kg/m^3$]

Q. A block of wood floats in a liquid of density $0.8gc{m}^{-3}$ with one fourth of its volume submerged. In oil the block floats with $60$% of its volume submerged. Find the density of (a) wood and (b) oil

Q. A block of wood floats in water with $(4/5{)}^{th}$ of its volume submerged. In an oil, it floats with $(9/10{)}^{th}$ of its volume submerged. The ratio of the density of oil and water is:

Q. A wooden block floating in a bucket of water has $\frac{4}{5}$ of its volume submerged. When a certain amount of an oil poured into the bucket, it is found that the block is just under the oil surface, with half of its volume underwater and half in oil. The density of oil relative to that of water is-