SSC Selection Post 2022 PYQ — Question 64

SSC Selection Post - Higher Secondary Level - 3 Aug 2022 - Shift 4 • Quantitative Aptitude • Q64

A cuboid of length 18 m, breadth 12 m, and height 8 m is melted and recast into a cube. Find the length of the diagonal of the cube.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 12√3 m.

Cuboid volume = 18 × 12 × 8 = 1728 m3

Cube side length = ∛1728 = 12 m

Cube diagonal = Side × √3 = 12√3 m