Question

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

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Answer 1

Step-by-step explanation:

Answer:

17m

Step-by-step explanation:

Given

length l = 12 m

breadth b = 9 m

height h = 8 m

Longest rod that can be placed in a room is nothing but its diagonal.

Length of diagonal of a cuboid = √(l^2 + b^2 + h^20)

Length of longest rod = √(12^2 + 9^2 + 8^2) m

= √(144 + 81 + 64) m

= √289 m

= 17 m

hence the length of the longest rod is 17 m

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Answer 2

Answer:

17 m

Step-by-step explanation:

To find the length of the longest rod we will find length of the diagonal of the cuboidal room because the diagonal is the maximum length which can be placed inside that room.

Diagonal of Cuboid = $\sqrt{l^2+b^2+h^2}$

                                  = $\sqrt{12^2+9^2+8^2}$

                                  = $\sqrt{289}$

                                  = 17 m

Hence, 17 m is the longest size of the rod which can be placed in the given room.