Question

The density of aluminium is 2.70g/cm^3 . If a cube of aluminum weights 13.5 grams, what is the lengths of the edge of the cube.

Answer 1

Answer: -

1.71 cm

Explanation: -

Density of aluminium = 2.70 g /
`cm^(3)`

Mass of aluminium = 13.5 g

We know density of a substance is the mass of the substance per unit volume.

Density = Mass / volume

Volume = Mass / density

Volume of aluminium = Mass of aluminium / Density of Aluminium

= 13.5 g / 2.70 g/
`cm^(3)`

= 5
`cm^(3)`

We know for a cube volume =
`length^(3)`

Length of the cube =
`Volume^(1/3)`

=
`5 ^(1/3)`

=1.71 cm

Thus if the density of aluminium is 2.70g/
`cm^(3)` and the cube of aluminum weights 13.5 grams, 1.71 cm is the length of the edge of the cube