Question

multiple choice question
a lump of lead has a mass of 22.8 g and a volume of 2.0 cm³. which shows the density of this lead with the correct number of significant figures?
o 11 g/cm³
o 11.0 g/cm³
o 11.40 g/cm³
o 11.4 g/cm³

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Substitute values

Given $m = 22.8\ g$ and $V=2.0\ cm^{3}$, then $
ho=\frac{22.8\ g}{2.0\ cm^{3}} = 11.4\ g/cm^{3}$.

Step3: Consider significant - figures

The mass 22.8 has 3 significant figures and the volume 2.0 has 2 significant figures. In division, the result should have the same number of significant figures as the measurement with the fewest significant figures. So the result should have 2 significant figures. Rounding 11.4 to 2 significant figures gives 11 $g/cm^{3}$.

Answer:

11 $g/cm^{3}$