(a) How does a boat float in water ?
(b) A piece of steel has a volume of $12\ cm^3$, and a mass of $96\ g$. What is its density :
(i) in $g/cm^3$ ?
(ii) in $kg/m^3$ ?

(a). A boat displaces water that is equal to its weight and this displaced water exerts a buoyant force to keep the weight of the boat balanced and make it float.

(b) (i). Mass of the piece of steel $m=96\ g$

The volume of the piece of the steel $V=12\ cm^3$

Therefore, the density of the piece of metal $=\frac{m}{V}$

$=\frac{96\  g}{12\ cm^3}$

$=8\  g/cm^3$

(ii). In $kg/cm^3$, the density in $=8\times\frac{10^6}{10^3}\ kg/m^3$

$=8\times10^3\ kg/m^3$

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Updated on: 10-Oct-2022

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