In order to find if the cube will float or sink, first let's calculate the volume of the cube.
The volume of a cube is given by the side length to the power of 3:
[tex]\begin{gathered} V=s^3 \\ V=6^3 \\ V=216\text{ cm^^b3} \end{gathered}[/tex]Now, let's calculate the density of the cube:
[tex]d=\frac{m}{V}=\frac{140}{216}=0.648\text{ g/cm^^b3}[/tex]The density of water is 1 g/cm³. Since the density of the cube is lesser than the density of the water, therefore the cube will float.
