SSC CHSL 2024 PYQ — Question 17

The correct answer is option 2 i.e. 3456$\sqrt2$ cm³.

The surface area of a cube = 1728

The surface area of the cube = 6a²

⇒ 6a² = 1728

⇒ a² = 288

⇒ a = 12$\sqrt2$

Volume of the cube = a³ 

⇒ (12$\sqrt2$)³

⇒ 3456$\sqrt2$ cm³