Question

how to convert cgs unit of density to si unit of density in full process

Answer 1

Hey here is your answer
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The formula of Density is
$\frac{mass}{volume}$

Therefore CGS unit of Density is
$\frac{gram}{ {cm}^{3} }$
now, the standard unit of mass is kg and
1 kg = 1000 g
1 g = 1 / 1000 kg

also the standard unit of volume is liter =
$1000 \: {cm}^{3} and \\ 1 {m}^{3} = 1000000 {cm}^{3} \\ 1 \: {cm}^{3} = \frac{1}{1000000} {m}^{3}$
Now , CGS unit of Density :
$Density = \frac{mass}{volume} \\ \\ = \frac{g}{ {cm}^{3} } \\ \\ = \frac{ \frac{1}{1000} kg}{ \frac{1}{1000000} {m}^{3} } \\ \\ 1000 \frac{kg}{ {m}^{3} } \\ \\ therefore \: \\1 CGS\: unit\: of\: density\\ is\: equal\: to\: 1000\: SI\: unit\\ 1 \frac{g}{ {cm}^{3} } = 1000 \frac{kg}{ {m}^{3} }$

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