Explanation
the density of an object is given by:
[tex]\text{Density(d)}=\frac{mass(m)}{\text{volume(v)}}[/tex]Step 1
find the volume of the bar
a)find the volume of the rectangular bar.
the volume of a rectangular prism is given by:
[tex]\text{Volume}=\text{ length}\cdot widht\cdot depth[/tex]replace
[tex]\begin{gathered} \text{Volume}=(\text{ 2.63}\cdot2.19\cdot1.96)(cm^3) \\ \text{Volume}=11.289012(cm^3) \end{gathered}[/tex]Step 2
now,
Let
[tex]\begin{gathered} \text{Volume}=11.289012(cm^3) \\ \text{mass}=\text{ 45.3 gr} \end{gathered}[/tex]replace in the formula
[tex]\begin{gathered} \text{Density(d)}=\frac{mass(m)}{\text{volume(v)}} \\ d=\frac{45.3\text{ gr}}{11.289012(cm^3)} \\ d=4.012\frac{gr}{cm^3} \end{gathered}[/tex]therefore, the answer is
[tex]4.012\frac{gr}{cm^3}[/tex]I hope this helps you
