SSC Selection Post 2024 PYQ — Question 71

The correct answer is option 1 i.e. $786432\sqrt{3} cm^3$.

Let the side of the cube be a

Disgonal = a$\sqrt3$

⇒ a$\sqrt3$ = 192

⇒ a = $192\over \sqrt3$ × $\sqrt3 \over \sqrt3$ = 64$\sqrt3$

Volume = a³ = (64$\sqrt3$)³

⇒ 786432$\sqrt3$ cm³