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