Question

Find the length of the longest pole that can be placed in a room 24m long ,18m wide 16m high

Answer 1

Answer- A room is in the shape of a cuboid.

The dimensions of the room are:

length(l)= 24 m

breadth(b)= 18 m

height(h)= 16 m

To find the length of the longest pole that can be placed in a room, we need to find the dimension of the diagonal of the room.

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

Substituting values,

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

                               =$\mathsf{ \sqrt{ 24^2+18^2+16^2} }$      

                                = $\mathsf{\sqrt{ 576+ 324 + 256}}$      

                                = $\mathsf{\sqrt{1156}}$              

                                = 34 m

Therefore, length of the pole that can be placed in a room that is 24 m long, 18 m wide and 16 m high is 34 m.