Question

Convert the density of 4.42 x 10^ -2 g/cm^ 3 to Kg/m^3

a. 0.42 Kg/m^3
b. 4.42 x 10^1 Kg/m^3
c. 4.42
d. 4.42 x 10^ -3 Kg/m^3

Answer 1

The conversion from g to kg and cm to m only involves powers of 10:

`\left(4.42*10^(-2)\frac{\rm g}{\mathrm{cm}^3}\right)\left(\frac1{10^3}(\rm kg)/(\rm g)\right)\left(10^2(\rm cm)/(\rm m)\right)^3=4.42*10^1(\rm kg)/(\mathrm m^3)`

so the answer is B.