Answered

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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?

Sagot :

SOLUTION

Density is calculated as

[tex]\begin{gathered} Density=\frac{mass}{volume} \\ \end{gathered}[/tex]

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

The volume becomes

[tex]\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}[/tex]

so the volume is 0.125 cubic-meters.

The mass becomes

[tex]\begin{gathered} Density=\frac{mass}{volume} \\ mass=density\times volume \\ mass=2700\times0.125 \\ =337.5 \end{gathered}[/tex]

Hence the answer is 337.5 kg

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