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A wooden block measuring 40 cm $\times10 cm \times 5$ cm has a mass 850 g. Find the density of 3 wood. (425 $kgm^{-3}$)
Solution:
Volume of wooden block = V = 40 cm $\times 10 cm\times 5cm$ = $2000 cm^{3}$
=$\frac{2000 \times1}{100}$ $\times\frac{1}{100}$ $\times \frac{1}{100}$ $m^{3}$
= $0.002 m^{3}$
Mass = m = 850 g =$\frac{850}{1000}$ = 0.85 kg
Density of wood = $\rho$ = ?
Density =$\frac{Mass}{Volume}$ =$\frac{0.85}{0.02}$ = $425 kg^{-3}$
How much would be the volume of ice formed by freezing 1 liter of water? (1.09 liter)
Solution:
Volume of water = 1 litre
The volume of ice =?
1 litre of water = 1 kg mass and density = $1000 kg^{-3}$
Since the density of ice is 0.92 times of the liquid water,, therefore,
Volume of ice = $\frac{Mass}{Density}$
= $\frac{1000}{920}$
Volume of ice = 1.09 litre
Calculate the volume of the following objects:
(i) An iron sphere of mass 5 kg, the density of iron is 8200 $kgm ^{-3}$.
$(6.1\times 10^{-4} m^{3})$
(ii) 200 g of lead shot having density 11300 $kgm^{-3}$.
$(1.77\times10^{-5} m^{3})$
(iii) A gold bar of mass 0.2 kg. The density of gold is $19300 kg–^{-3}$.
$(1.04\times10^{-5} m^{3})$
Solution:
