Question

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.Notice that the units you are trying to eliminate are now in the denominator. The same principle from the previous parts applies: Pick the conversion factor so that the units cancel. The only change is that now the units you wish to cancel must appear in the numerator of the conversion factor.

Answer 1

`5.23\cdot 10^3 kg/m^3`

Step-by-step explanation:

The density of the solid is

`d = 5.23\cdot 10^(-6)kg/mm^3`

we want to convert it into kg/m^3. We must note that:

`1 m^3 = 1 m \cdot 1 m \cdot \1m =1000 mm\cdot 1000 mm \cdot 1000 mm=1\cdot 10^9 mm^3`

Therefore, the conversion can be done as follows:

`d=5.23\cdot 10^(-6) (kg)/(mm^3) \cdot (1\cdot 10^9 (mm^3)/(m^3)) =5.23\cdot 10^3 kg/m^3`