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Question
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m) is ______.
Options
15 m
16 m
10 m
12 m
Solution
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m) is 15 m.
Explanation:
Given, dimensions of a room, l = 10 m, b = 10 m, h = 5 m
∴ Length of the longest pole = Diagonal of a cuboid (room)
= `sqrt(l^2 + b^2 + h^2)`
= `sqrt((10)^2 + (10)^2 + (5)^2`
= `sqrt(100 + 100 + 25)`
= `sqrt(225)`
= 15 m
Hence, the length of the longest pole is 15 m.
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