Discussion

Half cubic meter of the gold sheet is extended by hammering so as to cover an area of one hectare. The thickness of the sheet is:

Answer: B

Hammering preserves the volume, which spreads over the given area.

\[ V = 0.5 \text{ m}^{3} = 500{,}000 \text{ cm}^{3} \]

\[ A = 1 \text{ hectare} = 10{,}000 \text{ m}^{2} = 100{,}000{,}000 \text{ cm}^{2} \]

\[ \text{thickness} = \frac{500{,}000}{100{,}000{,}000} = 0.005 \text{ cm} \]

Both conversions matter: a cubic metre is \( 10^{6} \) cm³ and a square metre \( 10^{4} \) cm².

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