Question

Question #bc097

Answer 1

The density of the object is `9(kg)/(m^3)`

Explanation:

An object will sink in a liquid until it has displaced an amount of that liquid equal to its own weight. So, let's say that the volume of the object is four cubic metres. This means the submerged part will be three cubic metres in volume. The liquid it displaces is also three cubic metres.

Based on what you have given as the density of the liquid is `12 (kg)/(m^3)`. Three cubic metres would have a total mass of 36 kg.

Thus, the mass of the object is also 36 kg, while its volume is 4 `m^3`, and its density is

`rho = (36 kg)/(4 m^3) = 9 (kg)/(m^3)`