Answer:
The mass of the piece of Mg ribbon is 0.056g.
Explanation:
1st) It is necessary to calculate the volume of the Mg ribbon:
[tex]\begin{gathered} Volume=length*width*height \\ Volume=20mm*4.0mm*0.40mm \\ Volume=32mm^3 \end{gathered}[/tex]The volume is 32mm^.
2nd) With the volume and the density, we can calculate the mass of the Mg ribbon. It is important to convert first the mm^ to cm^: ()32mm^3=0.032cm^3
[tex]\begin{gathered} density=\frac{mass}{volume} \\ 1.74\frac{g}{cm^3}=\frac{mass}{0.032cm^3} \\ 1.74\frac{g}{cm^3}*0.032cm^3=mass \\ 0.056g=mass \end{gathered}[/tex]So, the mass of the piece of Mg ribbon is 0.056g.