Question

Find 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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Answer 1

Answer:

Correct option is

A

17 m

The longest rod that can be placed in the cuboidal room= Length of the diagonal  

=  

l  

2

+b  

2

+h  

2

 

​

=  

(12)  

2

+(9)  

2

+(8)  

2

 

​

 

144+81+64

​

=  

289

​

=17m

Step-by-step explanation:

Answer 2

Answer:

17m

Step-by-step explanation:

The longest rod that can be fit in a room 12m long, 9m broad and 8m high can be found out by measuring the diagonal of the room

Diagonal of the room =  ⎷(length² + breadth² + height²) or  ⎷(l²+ b² + h²)

=  ⎷(144 + 81 + 64)

= ⎷289

=  17m

I hope it helps you

@ana205