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

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