SSC CHSL 2024 PYQ — Question 56

The correct answer is Option 2 i.e. 10%.

Let the original side length of the cube be a

The volume of the cube is given by V = a³

The volume is reduced to 72.9% of its original volume.

So, the new volume = 0.729 × a³

Let the new side length be x

The volume of the cube with the new side length is x³

⇒ x³ = 0.729 × a³

⇒ x = ∛0.729 × a

⇒ x = 0.9 × a

Now,

Reduction in side = a - x = a - 0.9a = 0.1a

Thus, the side of the cube is reduced by 10%