Answer: Denisty = 2.0 g/mL
[tex]Density =\frac{Mass}{volume}[/tex]
The mass of the matchbox is, [tex]m = 10 g[/tex]
The volume of the cylinder = volume of water displaced in the cylinder when matchbox is immersed = final volume - initial volume.
[tex]V=v_f-v_i=46 mL-41 mL=5.0 mL[/tex]
[tex]Density =\frac{Mass}{volume}=\frac{10g}{5mL}=2.0g/mL[/tex]
Hence, the density of matchbox is 2.0 g/mL
