Question

the density of aluminum is 2700 kg/m3. what is the mass of a solid cube of aluminum with side lengths of 0.5 meters?

Answer 1

Density is calculated as

`\begin{gathered} Density=(mass)/(volume) \\ \end{gathered}`

The side lengths of the aluminium cube has been given as 0.5 m

The volume becomes

`\begin{gathered} volume=length* length* length \\ V=L* L* L \\ V=0.5*0.5*0.5=0.125m^3 \end{gathered}`

so the volume is 0.125 cubic-meters.

The mass becomes

`\begin{gathered} Density=(mass)/(volume) \\ mass=density* volume \\ mass=2700*0.125 \\ =337.5 \end{gathered}`

Hence the answer is 337.5 kg