SSC CHSL 2024 PYQ — Question 70

The correct answer is option 1 i.e. 729.

Let the number of smaller cubes be N.

Surface area of cube = 6a²

According to the given question,

Surface area of larger cube, 6A² = 54

where A is side of larger cube.

⇒ A² = 9

⇒ A = 3 cm

Now, surface area of smaller cube, 6a² = $\frac{8}{12}$

where a is side of smaller cube.

⇒ a² = 1/9

⇒ a = 1/3

Now, N × Volume of smaller cube = Volume of larger cube

⇒ N × (1/3)³ = 3³

⇒ N = 27 × 27

⇒ N = 729