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Q.

What is the length of the longest rod that can be placed in a room 12 m   long, 9 m   broad and 8 m  high?


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a

15 m

b

17 m

c

19 m

d

21 m 

answer is B.

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Detailed Solution

Given-
  l=12m b=9m h=8m  
Length of the longest rod will be,
⇒ l 2 + b 2 + h 2 ⇒ (12) 2 + (9) 2 + (8) 2 ⇒ 144+81+64 ⇒ 289 ⇒17m  
Thus, the length of the longest rod is 17m.
Hence, option 2 is the correct option.
 
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What is the length of the longest rod that can be placed in a room 12 m   long, 9 m   broad and 8 m  high?