Find the volume of a cube whose total surface area is 384 cm

Question:

Find the volume of a cube whose total surface area is 384 cm2.

Solution:

Total surface area $=6 a^{2}$

$\Rightarrow 6 a^{2}=384$

$\Rightarrow a=\sqrt{\frac{384}{6}}=8 \mathrm{~cm}$

$\therefore$ Volume $=a^{3}=512 \mathrm{~cm}^{3}$

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