Answer:
[tex]t=1.34\times 10^{-3}\ mm[/tex]
Explanation:
Given that,
Area of sheet of Aluminium foil is 1 m²
Mass of the sheet = 3.636 g
The density of Aluminium, [tex]d=2.699\ g/cm^3[/tex]
We need to find the thickness of the sheet in millimeters.
The density of an object is given in terms of its mass and volume as follows :
[tex]d=\dfrac{m}{V}[/tex]
V = volume, V = A×t, t = thickness of the sheet
So,
[tex]d=\dfrac{m}{A\times t}\\\\t=\dfrac{m}{Ad}\\\\t=\dfrac{3.636\ g}{10000\ cm^2\times 2.699\ g/cm^3}\\\\t=0.000134\ cm[/tex]
Since, 1 cm = 10 mm
So,
t = 0.00134 mm
or
[tex]t=1.34\times 10^{-3}\ mm[/tex]
