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Question

A piece of wood of dimensions 1 m×2 m×3 m has a mass of 360 kg. What is the density of wood in kg/m3? Would the wood float in water? ρwater=1000 kg/m3

A
60, Yes it will float
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B
600×103, No it will not float
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C
60×103, Yes it will float
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D
600, No it will not float
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Solution

The correct option is A 60, Yes it will float

Volume of the wood =1 m×2 m×3 m=6 m3

So, the density of wood =Mass of woodVolume of wood

Hence, ρwood = 360 kg6 m3 = 60 kg/m3
Now, to check whether the wood floats or not we need to calculate the relative density with respect to water as a reference material (or specific gravity).

So, relative density = 601000=60×103, which is less than 1.

Hence, the substance is less dense than water and it would float.


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