Question
The total surface area of a cube is $96\ cm^2.$ Find its lateral surface area.

Answer

Total surface area of cube $= 6a^2 ($let a be a side of cube$)$
So$, 6a^2 = 96,$
$\text{a}^2=\frac{96}{6}$
$= 16$
$a = 4\ cm$
Now, lateral surface area of cube is $4a^2$
So$, 4a^2 = 4 x (4)^2$
$= 4 x 16$
$= 64\ cm^2$​​​​​​​

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