Half cubic metre of gold-sheet is extended by hammering so as to cover an area of $1$ hectare. Find the thickness of the gold- sheet.

 Given:

Half cubic metre of gold-sheet is extended by hammering so as to cover an area of $1$ hectare. 

To do:

We have to find the thickness of the gold- sheet.

Solution:

Volume of the gold plate $=\frac{1}{2} \mathrm{~m}^{3}$

$=0.5 \mathrm{~m}^{3}$

Area covered by the plate $=1$ hectare

$=10000 \mathrm{~m}^{2}$

Therefore,

The thickness of the gold sheet $=\frac{\text { Volume }}{\text { Area }}$

$=\frac{0.5}{10000}\ m$

$=\frac{5}{10000 \times 10}\ m$

$=\frac{5 \times 100}{10000 \times 10}\ cm$

$=\frac{1}{200} \mathrm{~cm}$

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Updated on: 10-Oct-2022

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