Question

If the length of the longest rod that can be placed in a room of dimensions 20m 20m 10m

Answer 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 = $\sqrt{Lenght^{2} + breadth^{2} +height^{2} }$

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

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

Or, L' = $\sqrt{400+400+100}$

Or, L' = $\sqrt{900}$

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

Answer 2

Diagonal of room =√L²+B²+H²

=√20²+20²+10²

=√400+400+100

=√900

=30m

then your answer is 30m.

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