Question

the density of a substance is 10 gram per centimetre cube What will be its value in SI units​

Answer 1

SI unit of density is kg/m³

We have 10 g / cm³

So, In kg / m³:

10/1000×100×100×100

=> 10000 kg / m³

HOPE IT HELPS U.

Answer 2

Solution:

In CGS system,

Density = 10 g/cc

→ Density = 10 g/cm³

$\begin{array}{| c | c|}\cline{1-2} CGS & SI \\\cline{1-2} Length (cm) & Length (m) \\\cline{1-2} Mass (g) & mass (kg) \\\cline{1-2} Time (s) & time (s) \\\cline{1-2}\end{array}$

Density = $\dfrac{10\:g}{1\:cm^{3}}$

$\longrightarrow$ Density = $\dfrac{10 \times 1\:g}{1\:cm \times 1\:cm \times 1\:cm}$

$\longrightarrow$ Density = $\sf{\dfrac{10 \times \frac{1}{1000} \: kg}{\frac{1}{100} m \times \frac{1}{100} m \times \frac{1}{100} m}}$

$\longrightarrow$ Density = $\sf{\dfrac{10^{-2} kg}{10^{-6} m^{3}}}$

$\longrightarrow$ $\sf{\blue{Density\:=\:10^{4} kg/m^{3}}}$