# Lead has a density of 11.3 g/cm^3. What is the volume of a block of lead with a mass of 282.5 g?

Approx. $25 \cdot c {m}^{3}$..........
$\rho$, $\text{density}$ $=$ $\text{mass"/"volume}$ by definition. The quoted density, $\rho = 11.3 \cdot g \cdot c {m}^{-} 3$ thus has appropriate units.
To get volume, we thus take the QUOTIENT: $\frac{\text{volume"="mass}}{\rho}$, i.e.
(282.5*g)/(11.3*g*cm^-3)=??*cm^3. Is this quotient dimensionally consistent? Why?