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

Aug 15, 2017

$\text{Density"="Mass"/"Volume} = 0.15 \cdot g \cdot c {m}^{-} 3$.
And thus ${\rho}_{\text{sugar cube}} = \frac{0.5 \cdot g}{1.5 \cdot c m \times 1.5 \cdot c m \times 1.5 \cdot c m}$
$= 0.15 \cdot g \cdot c {m}^{-} 3$
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. $\text{mass"/"volume} = g \cdot c {m}^{-} 3$ or $g \cdot m {L}^{-} 1$, 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.