Question

Find the length of the largest pole that can be placed in a hall 10 m long ,10m wide and 5 m high .

Answer 1

Question :

• Find the length of the largest pole that can be placed in a hall 10 m long ,10m wide and 5 m high .

Answer :

• $\longrightarrow \text{the \: lenght \: of \: rectangular hall 15m}$

Solution :

$\red{ \text{Given \: information : }}$

• length of the hall = 10 m
• breath of the hall = 10 m
• height of the hall = 5m

$\green{ \text{Need \: to \: find \: out : }}$

• Length of the largest pole can be placed in a hall ?

$\blue{ \text{Using \: formula : }} \:$

• $\leadsto \fbox{\boxed{ \text{Length of the largest pole = } \sf{\sqrt{ {length}^{2} + {breath}^{2} + {height}^{2} }} }}$

$\pink{ \text{Solution : }}$

As we know that length of largest pole = diagonal of rectangular hall

$\\ \longmapsto \bf\sqrt{{Length}^{2} + {Breath}^{2} + {Height}^{2} } \\ \\ \\ \\ \large\text{putting \: value } \\ \\ \\ \\ \longmapsto \bf \: \sqrt{ {10}^{2} + {10}^{2} + {5}^{2} } \\ \\ \\ \\ \longmapsto \: \bf\sqrt{100 + 100 + 25} \\ \\ \\ \\ \bf \longmapsto \: \sqrt{200 + 25} \\ \\ \\ \\ \longmapsto \bf \: \sqrt{225} \\ \\ \\ \\ \large \pink{ \longmapsto \: \orange{\fbox{\boxed{ \frak{15 \: meter}}}}}$

$\bigstar \orange{\underline{ \fbox{ \fbox{ \green{Therefore lenght of the largest pole be 15 metar}}}}} \bigstar$