Question

Density of a certain solid is 5.23×10−6kg/mm3. Convert this density into kilograms per cubic meters.

Answer 1

In a laboratory, you determine that the density of a certain solid is 5.23×10−6kg/mm3. Convert this density into kilograms per cubic meter.
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5.23×10^−6 kg/mm3 x 1000 mm^3/cm^3 x 1000 cm^3/dm^3

x 1000 dm^3/m^3 = 5230 kg/m^3.

notice how all the units cancel out but the required.

Answer 2

`5.23 * 10^(3) (kg)/(m^3)`.

Explanation:

`5.23 * 10^(-6) (kg)/(mm^3)`. We have that
`1m^3 = 10^9 mm^3`. Now,

`5.23 * 10^(-6) (kg)/(mm^3) (10^9 mm^3)/(1m^3)`

`5.23 * 10^(-6)*10^9 (kg)/(m^3) = 5.23 * 10^(3) (kg)/(m^3)`.