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  • Find the length of the longest rod that can be placed in a room 16m long 12m broad and 32/3 m high.

Find the length of the longest rod that can be placed in a room 16m long 12m broad and 32/3 m high.

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Here l=16m, b=12m, h=frac323m
The length of the longest pole = Length of the diagonal
sqrt l^2+b^2+h^2=sqrt(16)^2+(12)^2+(frac323)^2, m
=sqrt256+144+frac10249, m
=sqrtfrac46249, m
=frac683, m
Rightarrow 22 frac23m 

Posted by

Deependra Verma

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