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