A piece of wood has the following dimensions: 1 m by 2 m by 3 m and 2 kg mass. What is the density of wood? Would the wood float in water? (dwater = 1000 Kg/m3)
0.33, YES
Volume of the wood = 1 m×2 m×3 m = 6m3.
So, the density of wood = mass of woodvolume of wood.
Hence, dwood = 26 Kg/m3 = 0.33 Kg/m3.
Now, to check whether the wood floats or not, we need to calculate the relative density with respect to water as a reference material (or specific gravity).
So, specific gravity = 0.331000 = 0.33 × 10−3, which is less than 1.
Hence, the substance is less dense than water and it would float.