Question

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 cube given this information

Answer 1

Answer:
`5 (g)/(cm^(3))`

Step-by-step explanation:

The density
`\rho` of a material is given by:

`\rho=(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=(3645 g)/(729 cm^(3))` (4)

`\rho=5 (g)/(cm^(3))` This is the density of the cube