0.0088 \frac{\mathrm{g}}{\mathrm{cm}^3}=\square \frac{\mathrm{kg}}{\mathrm{m}^3}

Question

`0.0088 \frac{\mathrm{g}}{\mathrm{cm}^3}=\square \frac{\mathrm{kg}}{\mathrm{m}^3}`

Answer 1

`8.8 ~ (kg)/(m^3)`

Explanation:

`\text{Note that,}\\1~ kg = 1000~ g\\\\1 ~m = 100 ~cm \\\\\text{Now,}\\\\0.0088 (g)/(cm^3)\\\\\\=(0.0088~ g)/( (1~ cm)^3)\\\\\\=(0.0088* 10^(-3)~ kg)/((1 * 10^(-2)~ m)^3 )\\\\\\=(0.0088 * 10^(-3)~ kg)/(1 * 10^(-6) ~m^3)\\\\\\`

`=0.0088 * 10^(-3+6) ~ (kg)/(m^3)\\\\\\=0.0088 * 10^(3) ~(kg)/(m^3)\\\\\\= 8.8 ~ (kg)/(m^3)`