SSC GD 2023 PYQ — Question 55

The correct answer is option 2  i.e. 6$\sqrt{3}$cm

Given that

Three cubes of sides (5 cm, 4 cm, and 3 cm) are melted to form a new cube of side x cm.

The volume of new cube = the sum of the volumes of the three cubes

⇒ x³ = 5³ + 4³ + 3³ = 125 + 64 + 27 = 216

⇒ x = 6 cm

The length of the diagonal of the new cube of side = side $\sqrt{3}$ = 6$\sqrt{3}$cm