Question #330341
  1. Will a 0.30 m × 0.30 m × 0.30 m empty copper (ρCu = 8890 kg/m3) box float in water? The total mass of copper is 3.2 kg.
1
Expert's answer
2022-04-18T15:18:46-0400

The average density of a box

ρ=mV=3.2kg(0.3m)3=119kg/m3\rho=\frac{m}{V}=\frac{3.2\rm \: kg}{(0.3\:\rm m)^3}=119\:\rm kg/m^3

Since

ρ<ρw=1000  kg/m3\rho<\rho_w=1000\;\rm kg/m^3

hence the box will float in water.


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