The length of a longest pole that can be put in a room of dimension of 10m into 10 into 5.
Answers
Given :-
- Length of Room = 10m
- Breadth of Room = 10m
- Height of Room = 5m
To Find :-
- The Maximum length of the pole which can be placed in a room
Solution :-
❏ Maximum length of the Pole means the Length of the Diagonal of the Room.
⟹⠀⠀ Diagonal = √(L)² + (B)² + (H)²
⟹⠀⠀ Diagonal = √(10)² + (10)² + (5)²
⟹⠀⠀ Diagonal = √100 + 100 + 25
⟹⠀⠀ Diagonal = √200 + 25
⟹⠀⠀ Diagonal = √225
⟹⠀⠀ Diagonal = 15m
Thus, Maximum length of the Pole which can be placed in the room is 15m
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Tips and Tricks :
- The Diagonal of a cuboid with dimensions l × b × h is √(L)² + (B)² + (H)².
- The Diagonal of a cube of side a is given by√3×a.
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Answer:
❏ Maximum length of the Pole means the Length of the Diagonal of the Room.
Diagonal = √(L)² + (B)² + (H)²
Diagonal = √(10)² + (10)² + (5)²
Diagonal = √100 + 100 + 25
Diagonal = √200 + 25
Diagonal = √225
Diagonal = 15m
Thus, Maximum length of the Pole which can be placed in the room is 15m
________________
Tips and Tricks :
The Diagonal of a cuboid with dimensions l × b × h is √(L)² + (B)² + (H)².
The Diagonal of a cube of side a is given by√3×a.
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