As per the formula of mass and density, Mass / Density equals to volume. Therefore as the mass of the cube was given to be 81 g and the density of the cube is known to be 3.0 g/ $\mathrm{cm}^{3}$ ,, to help Bill find out the volume. It is the ratio of mass and density and can be calculated as

$\text {volume}=\frac{\text {mass}}{\text {density}}=\frac{81 g}{3 g / \mathrm{cm}^{3}}=27 \mathrm{cm}^{3}$

As it is a cube, the volume is product of length, breadth, and height. Here, all sides are same as it is the cube.

$volume= length \times breadth \times height$

$27=3 l$

$length of cube's one side, l=\frac{27}{3}=9 \mathrm{cm}$

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