Question

What is the density of a sugar cube whose mass is `0.50*g`, and whose edge length is `1.5*cm`?

Answer 1

`"Density"="Mass"/"Volume"=0.15*g*cm^-3`.

Explanation:

And thus `rho_"sugar cube"=(0.5*g)/(1.5*cmxx1.5*cmxx1.5*cm)`

`=0.15*g*cm^-3`

While it is bit of a pfaff to include the units in these types of calculation, note that it gave us units that are consistent with units of density, i.e. `"mass"/"volume"=g*cm^-3` or `g*mL^-1`, and thus it is a check on our calculations. It is all too easy to divide instead of multiply or vice versa, and totally botch the answer.