SSC GD 2023 PYQ — Question 55

The correct answer is option 3 i.e. 216 cm3

We know that the longest diagonal of a cube is the line joining two distant vertices of opposite faces of the cube.

 HERE AC IS THE LONGEST DIAGONAL

The diagonal of cube is = $\sqrt{3}$(s)

Thus,

⇒ $\sqrt{3}$(s) = 6$\sqrt{3}$ 

⇒ s= 6

Thus volume of cube = s³

Thus,

⇒ V = 6³

V = 216 cm³.