Question

Find the length of the largest rod that can be placed in a hall of dimensions 14 m × 5 m × 2 m.​

Answer 1

Cuboidal :  A figure which is surrounded by six  rectangular surfaces is called cuboid.

SOLUTION :

Given:

Length of a room(l) = 10 m

Breadth of a room(b) = 10 m

Height of a room(h) = 5m

The length of the longest rod is the diagonal of the room.

So, We have to find the diagonal of the cuboid.

Diagonal of a cuboid = √ (l)² + (b)² + (h)²

Diagonal of a cuboid = √ (10)² + (10)² + (5)²

Diagonal of a cuboid = √ 100 + 100 + 25

Diagonal of a cuboid = √ 225

Diagonal of a cuboid = √ 15 × 15  = 15 m

Hence , The length of the longest rod can be put in a room is 15 m.

HOPE THIS WILL HELP YOU...