Question

The length of the longest pole that can be put in a room of dimensions $10$ m $\times 10$ m $\times 5$m is

• A. $15$ m
• B. $16$ m
• C. $10$ m
• D. $12$ m

Answer 1

The correct option is A $15$ m

The length of the longest pole that can be put in the room of given dimension is equal to the length of the diagonal of the room.
Since, Room can be considered as Rectangle.
Diagonal of rectangle $=\sqrt{(l^2+b^2+h^2)}$
Diagonal of rectangle $=\sqrt{\left(\right(10{)}^2+(10{)}^2+(5{)}^2)}=15$ m