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ASHA 777 [7]
3 years ago
8

A cube made Of an unknown material has a height of 9 symeters the mass of this cube is 3645 g. calculate the density of this cub

e given this information
Physics
1 answer:
kherson [118]3 years ago
8 0

Answer: 5 \frac{g}{cm^{3}}

Explanation:

The density \rho of a material is given by:

\rho=\frac{m}{V} (1)

Where:

m=3645 g is the mass of the cube

V is the volume of the cube

Now, the volume of a cube is equal to the length L of its edge to the power of 3:

V=L^{3} (2)

If we know L=9 cm, the volume of this cube is:

V=(9 cm)^{3}=729 cm^{3} (3)

Substituting (3) in (1):

\rho=\frac{3645 g}{729 cm^{3}} (4)

\rho=5 \frac{g}{cm^{3}} This is the density of the cube

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