The density of the pine wood, 4 cm on each side is 27/64 gram per cubic cm.
It is given in the question that each of the sides of the pine wood is 4 cm and it has the mass of 27 g.
We know that, the formula for density is given by:-
Density = Mass/Volume
As the pine wood has all of the sides equal, hence it is of cubic form.
We know that the volume of a cube = [tex]side^{3}[/tex]
Here, we have,
Side = 4 cm
Hence,
Volume of pine wood = [tex](4cm)^{3}=64cm^{3}[/tex]
We know that,
Mass of pine wood = 27g
Hence, we can find,
Density of pine wood = [tex]\frac{27g}{64cm^{3} }=\frac{27}{64}g/cm^{3}[/tex]
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