Question 56

The length of a cuboidal room is 56 m, its breadth is 34 m and its height is 8 m. Find the length of the longest ladder that can be placed in the room.

Solution

The length of the longest ladder that can be placed in the room is equal to the diagonal of cuboidal room.

So the diagonal of cuboidal room = $$\sqrt{\ (length)^2+(breadth)^2+(height)^2}$$

= $$\sqrt{\ (56)^2+(34)^2+(8)^2}$$

= $$\sqrt{3136+1156+64}$$

= $$\sqrt{4356}$$

= 66 m

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