Yes, the material will float because it has a lower density than that of water.
A material will float if it has a lower density than that of the liquid it's placed in. So let's first calculate the density of this new material.
Density is simply mass per volume, so doing the division.
2.0 g / 3.0 cm^3 = 0.67 g/cm^3
The density of water is 1.0 g/cm^3 and since the density of the new material is less at 0.67 g/cm^3 it will float.
