Question

A room has dimensions 5 m X 3 m X 4 m The length of the longest pole which can be accommodated in the hall is

• A. $5\sqrt{2}m$
• B. 25 m
• C. 50 m
• D. $2\sqrt{5}m$

Answer 1

The correct option is A $5\sqrt{2}m$

Given the dimensions of room 5m ,3 m and 4 m

Then longest pole will be =Longest diagonal of room =$\sqrt{l^2+b^2+h^2}=\sqrt{(5{)}^2+(3{)}^2+(4{)}^2}=\sqrt{25+9+16}=\sqrt{50}=5\sqrt{2}$ m