Question : The length of the longest diagonal of a cube is $7 \sqrt{3}$ cm. Find its volume (in cm3).
Option 1: $343 \sqrt{3}$
Option 2: $49 \sqrt{3}$
Option 3: $334$
Option 4: $343$
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Correct Answer: $343$
Solution :
Diagonal of cube $= \sqrt3$ × side
⇒ $7\sqrt{3} = \sqrt3$ × side
⇒ side = 7 cm
$\therefore$ Volume of cube = side
3
$=7^3 = 343$ cm
3
Hence, the correct answer is $343$.
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