Question

Aluminum has a density of 2.70 g/cm3. If you have a volume of 275 cm3, what is the mass in kilograms

Answer 1

Density is defined as the ratio of mass to the volume.

The mathematical expression is given as:

`d =(m)/(v)`

where, d = density

m = mass and v= volume

Plug in the value of density i.e.
`2.70 g/cm^(3)` and volume i.e.
`275 cm^(3)` in above formula;

`2.70 g/cm^(3) =(m)/(275 cm^(3))`

`2.70 g/cm^(3)* 275 cm^(3) = m`

`m = 742.5 g`

Now from conversion factors, 1 kg = 1000 g

Thus, mass of aluminium in kg =
`(742.5)/(1000)`

=
`0.7425 kg`

Hence, mass of aluminium in kg =
`0.7425 kg`