Question

Find the length of the longest pole that can be put in a room of dimensions 6mx6mx3m​

Answer 1

Answer:

9m

Step-by-step explanation:

formula=√l×l+b×b+h×h

√6×6+3×3+6×6

√36+9+36

√81

=9

Answer 2

Answer:

• The length of the longest pole that can be fit in a room of dimensions 6 m by 6 m by 3 m is 9 m.

Given :

• Length = 6 m

• Breadth = 6 m

• Height = 3 m

To find :

• The longest pole that can be put in will be the the longest diagonal of a cuboid =?

Step-by-step explanation:

Consider the room to be a cuboid

The longest pole that can be put in will be the the longest diagonal of a cuboid

Here lenght =10m

breadth =5m

Height =10m

The longest diagonal for a cuboid is given as √(l²+b²+h²)

Substituting the values in the above formula, we get,

√[ 6²+6²+3² ]

√[ 36+36+9]

√(81)

= 9 m

The length of the longest pole that can be fit in a room of dimensions 6 m by 6 m by 3 m is 9 m