Question

FIND THE LENGTH OF THE LONGEST POLE WHICH CAN BE FITTED IN A ROOM OF DIMENSIONS ( 10m * 10m * 5m )​

Answer 1

DIAGONAL = √l² + b² + h²

= √ 10² + 10² + 5²

= √ 100 + 100 + 25

= √225

= 15m

Answer 2

15 m

Step-by-step explanation:

Given:

The dimensions of room = 10 m , 10 m and 5 m

Better If I say,

Length (l) = 10 m

Breadth (b) = 5 m

Height (h) = 10 m

To find:

The Length of thr longest pole which can be fitted in the room = Diagonal of Room

Solution:

$\beacuse$ The room is a Cuboid.

$\therefore \textsf{Diagonal of Room} = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } \\ \\ = \sqrt{ {10}^{2} + {5}^{2} + {10}^{2} } \: \: \: \: \: \text{m}\\ \\ = \sqrt{100 + 25 + 100} \: \: \: \: \: \text{m} \\ \\ = \sqrt{225} \: \: \: \: \: \text{m}\\ \\ = 15 \: \: \: \: \: \text{m}$

Hence, The required length of longest pole is 15 m.

Additional Information:

Cube : Cube is a 3D shape which contains equal length, breadth and height. It have 8 vertex, 6 face and 12 edges.

e.g Cube and Dice etc.

Formula Related to Cube

Diagonal of cube = a√3 unit

T.S.A """"""""" = 6a² unit²

Volume """""""" = a³ unit³

[Where a is length of any equal side]

Cuboid : Cuboid is also a 3D shape which have similar properties like cube. But it's length breadth and height are not equal.

Formula Related to Cuboid.

Volume of Cuboid = l × b × h unit³

T.S.A of Cuboid=  2(lb+bh+lh) unit²

$\textsf{Diagonal of Cuboid} = \sqrt{l^2+b^2+h^2} \:\:\:\:\: \text{unit}$

[Where l , b and h are length, breadth and  height of any Cuboid]