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Question: A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a d...

A hall has the dimensions 10m×12m×14m.10m \times 12m \times 14m. A fly starting at one corner ends up at a diametrically opposite corner. What is the magnitude of its displacement

A

17 m

B

26 m

C

36 m

D

20 m

Answer

20 m

Explanation

Solution

Diagonal of the hall = l2+b2+h2\sqrt{l^{2} + b^{2} + h^{2}}

=102+122+142= \sqrt{10^{2} + 12^{2} + 14^{2}}

=100+144+196= \sqrt{100 + 144 + 196}

=400=20m= \sqrt{400} = 20m