the length of the longest rod that can be placed in a..., Area & Volume, General Mathematics

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Question:The length of the longest rod that can be placed in a room  $30$  m long, $24$  m broad and  $18$  m high, is :

A  $30 m$  
B  $15√2 m$  
C  $30√2 m$  
D  $60 m$

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+ AnswerC

+ ExplanationLength of longest rod = Length of diagonal 

 $= √1^2 + b^2 + h^2$ 

 $= √(30)^2 + (24)^2 + (18)^2$ 

 $= √1800$ 

 $= 30√2 m$ .

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Question:The length of the longest rod that can be placed in a room 3030 m long,2424 m broad and 1818 m high, is :