Question

Question #46931

Answer 1

I assume that the correct option was b) `1.2 * 10^(-3)"g/cm"""^3`

Explanation:

To convert the given density from kilograms per cubic meter to grams per cubic centimeter, use two conversion factors

`"1 kg" = 10^3"g" " "` and `" " "1 m" = 10^2"cm"`

You can find how many cubic centimeters you get per cubic meter by using

`"1 m"""^3 = "1 m" xx "1 m" xx "1 m"`

Replace `"1 m"` with the above conversion factor to get

`"1 m"""^3 = 10^2"cm" xx 10^2"cm" xx 10^2"cm" = 10^6"cm"""^3`

So, the density will be

`1.2color(red)(cancel(color(black)("kg")))/(color(red)(cancel(color(black)("m"""^3)))) * (10^3"g")/(1color(red)(cancel(color(black)("kg")))) * (1color(red)(cancel(color(black)("m"""^3))))/(10^6"cm"""^3) = 1.2 * 10^(-3)"g/cm"""^3`