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The length of the longest pole that can be put in a room of dimensions $(10 m × 10 m × 5 m)$ is

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30m

25m

15m

20m

answer is D.

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Detailed Solution

Given,
Length = 10m,
Breadth = 10m,
Height = 5m.
We know, Length of the diagonal of the cuboid = Length of the longest pole.
Length of diagonal of a cuboid is given by the formula

⇒

(l e n g t h) 2 + (b r e a d t h) 2 + (h e i g h t) 2

Substitute the values,

⇒ (10) 2 + (10) 2 + (5)

⇒ 100 + 100 + 25

⇒ 225

⇒ 15 m

The length of the largest pole is 15m.
Therefore, the correct option is 4.

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