SSC GD 2024 PYQ — Question 44

The correct answer is Option 2 i.e. 125000 cm³.

The length of the longest rod that can be placed in the cubical room, which is the space diagonal of the cube

Diagonal = $\sqrt3$a

where, a = side of the cube

⇒ $\sqrt3$a = 50$\sqrt3$

⇒ a = 50 cm

Volume of the cube = a³

Volume = 50³ = 125000 cm³