a wooden box of mass 4500 kg and dimensions 3m×2m×1m has been kept on water with density 1000 kg/m3. Does it float or sink on water? Calculate the density and relative density of the wooden box and give reason to justify your answer.
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Explanation:
Density of water = 1000 kg / m³
Mass of wooden box = 4500 kg
Volume of wooden box = 3*2*1 = 6 m³
Density = mass / volume
Density of wooden box = mass of box / volume
= 4500 / 6
= 750 kg / m³
As density of wooden box < Density of water
So the wooden box will float.
It is because the density of wooden box is less than density of water, so the wooden box will float.
Relative density = Density of object / Density of water
= 750 / 1000
= 3 / 4
The density of wooden box is 750 m³ and the relative density of wooden box is 3 / 4.
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