Question:
Half cubic meter of gold-sheet is extended by hammering so as to cover an area of 1 hectare. Find the thickness of the gold-sheet.
Solution:
Given that, Volume of gold-sheet $=0.5 \mathrm{~m}^{3}$
Area of the gold-sheet $=1$ hectare $=1^{\star} 10000=10000 \mathrm{~m}^{2}$
Therefore,
Thickness of gold sheet $=\frac{\text { Volume of solid }}{\text { Area of gold sheet }}$
$\Rightarrow 0.5 \mathrm{~m}^{3} / 1$ Hectare
$\Rightarrow 0.5 \mathrm{~m}^{3} / 10000 \mathrm{~m}^{2}$
⇒ 100 m/20000
Therefore, Thickness of silver sheet = 1/200 cm
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