The area of the floor of a cubical room is 192 m². The length of the longest rod that can be kept in that room is :

Question

Question

This question was previously asked in

SSC GD 17 Nov 2021 Shift 3 (Official Paper)

Answer 1

Given:

Area of the floor of a cubical room = 192 m²

Formula used:

Diagonal of the cube = √3 × side of cube

Floor area = side² (floor of the cube is in the shape of a square)

Calculation:

According to the question,

The floor area of the cube = side²

⇒ 192 = side²

⇒ side of cube = √192 = 8√ 3 m

Diagonal = √3 × side of the cube

⇒ √3 × 8 × √3

⇒ 8 × 3 = 24 m

∴ The length of the longest rod that can be kept in that room is 24 m.