Question

19. The density of gold is 19.6 g/cm². Express the density in kg/m².
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Answer 1

Answer:

$196 \: kg \: per \: {m}^{2}$

Step-by-step explanation:

$1 \: kg \: = 1000 \: g \\ \\ 1 \: m \: = 100 \: cm \\ \\ 1 \: {m}^{2} = 10000 \: {cm}^{2} \\ \\ 1 \: kg \: per \: {m}^{2} = \frac{1000}{10000} \: \: g \: per \: {cm}^{2} \\ \\ 1 \: kg \: per \: {m}^{2} = 0.1 \: \: g \: per \: {cm}^{2} \\ \\ 10 \: kg \: per \: {m}^{2} = 1 \: g \: per \: {cm}^{2} \\ \\ 19.6 \: g \: per \: {cm}^{2} = 10 \times 19.6\: kg \: per \: {m}^{2} \\ \\ = 196 \: kg \: per \: {m}^{2}$

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