Question

The density of gold is 19.3 g/cm3. What is the density in kilograms per cubic meter? A. 1.93 x 102 kg/m3 B. 1.93 x 104 kg/m3 C. 1.93 x 108 kg/m3 D. 1.93 x 10–1 kg/m3

Answer 1

we are given

density of gold = 19.3g/cm^3

we know that

$1g=10^{-3}kg$

$1cm=10^{-2}m$

we have to change it into kg/m^3

so, we can plug these values

$19.3\frac{g}{cm^3} =19.3\frac{10^{-3}kg}{(10^{-2}m)^3}$

we can also write as

$19.3\frac{g}{cm^3} =19.3\frac{10^{-3}}{(10^{-2})^3}\frac{kg}{m^3}$

now, we can simplify it

$19.3\frac{g}{cm^3} =19300\frac{kg}{m^3}$

$19.3\frac{g}{cm^3} =1.93\times 10^4 \frac{kg}{m^3}$..............Answer