Question:
Tick $(\checkmark)$ the correct answer:
The diagonal of a cube measures $4 \sqrt{3} \mathrm{~cm}$. Its volume is
(a) $8 \mathrm{~cm}^{3}$
(b) $16 \mathrm{~cm}^{3}$
(c) $27 \mathrm{~cm}^{3}$
(d) $64 \mathrm{~cm}^{3}$
Solution:
(d) $64 \mathrm{~cm}^{2}$
Diagonal of the cube $=a \sqrt{3}=4 \sqrt{3} \mathrm{~cm}$
i.e., $a=4 \mathrm{~cm}$
$\therefore$ Volume $=a^{3}=4^{3}=64 \mathrm{~cm}^{3}$
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