Math, asked by aditykushwaha170, 7 months ago

the length of a longest pole that can be put in a room of dimension of 10 metre into 10 into 5​

Answers

Answered by darkprince1121
0

Step-by-step explanation:

the length of a longest pole that can be put in a room of dimension

Answered by thebrainlykapil
31

Given :-

  • Length of Room = 10m
  • Breadth of Room = 10m
  • Height of Room = 5m

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To Find :-

  • The Maximum length of the pole which can be placed in a room

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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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