What is the length of the longest pole that can be placed in a room of dimensions 10 m × 10 m × 5 m?

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 10 Jan 2023 Shift 2)

Answer 1

Given:

The dimension of the room = 10 m × 10 m × 5 m

Concept used:

The length of the longest rod = The diagonal of the cuboid

Diagonal of the cuboid = \( \sqrt{ l^{2} + b^{2} + h^{2} } \)

Where,

l → Length of the cuboid

b → Breadth of the cuboid

h → Height of the cuboid

Calculations:

The length of the longest rod will be the diagonal of the cuboid

⇒ √225 = 15 m.

∴ The length of the longest rod in the room is 15 m.