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

SOLUTION

Density is calculated as

$\begin{gathered} Density=\frac{mass}{volume} \\ \end{gathered}$

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

The volume becomes

$\begin{gathered} volume=length\times length\times length \\ V=L\times L\times L \\ V=0.5\times0.5\times0.5=0.125m^3 \end{gathered}$

so the volume is 0.125 cubic-meters.

The mass becomes

$\begin{gathered} Density=\frac{mass}{volume} \\ mass=density\times volume \\ mass=2700\times0.125 \\ =337.5 \end{gathered}$

Hence the answer is 337.5 kg