find the length of the longest
rod that can be put in a room
of dimension 20m x 20m x 20m.​

1 thought on “find the length of the longest<br />rod that can be put in a room<br />of dimension 20m x 20m x 20m.​”

1. Answer:

   The length of the longest rod that can place in room is 30 meters

   Step-by-step explanation:

   Given as :

   The dimension of the room

   Length of room = L = 20 meters

   Breadth of room = B = 20 meters

   Height of the room = H = 10 meters

   Let The length of the longest rod that can place in room = L’

   According to question

   The length of the longest rod that can place in room = Diagonal of the room

   ∵ Diagonal of room = \sqrt{Lenght^{2} + breadth^{2} +height^{2} }

   Lenght

   2

   +breadth

   2

   +height

   2

   So, The length of the longest rod that can place in room = \sqrt{L^{2}+B^{2}+H^{2} }

   L

   2

   +B

   2

   +H

   2

   Or, L’ = \sqrt{20^{2}+20^{2}+10^{2} }

   20

   2

   +20

   2

   +10

   2

   Or, L’ = \sqrt{400+400+100}

   400+400+100

   Or, L’ = \sqrt{900}

   900

   Or, L’ = 30 meters

   ∴ The length of the longest rod that can place in room = L’ = 30 meters

   Hence, The length of the longest rod that can place in room is 30 meters

   Step-by-step explanation:

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