Answer: [tex]5 \frac{g}{cm^{3}}[/tex]
Explanation:
The density [tex]\rho[/tex] of a material is given by:
[tex]\rho=\frac{m}{V}[/tex] (1)
Where:
[tex]m=3645 g[/tex] is the mass of the cube
[tex]V[/tex] is the volume of the cube
Now, the volume of a cube is equal to the length [tex]L[/tex] of its edge to the power of 3:
[tex]V=L^{3}[/tex] (2)
If we know [tex]L=9 cm[/tex], the volume of this cube is:
[tex]V=(9 cm)^{3}=729 cm^{3}[/tex] (3)
Substituting (3) in (1):
[tex]\rho=\frac{3645 g}{729 cm^{3}}[/tex] (4)
[tex]\rho=5 \frac{g}{cm^{3}}[/tex] This is the density of the cube
