Question

Find the length of the longest rod that can be put in a room of dimensions 10m x 10m x 10m.​

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) = 10 m

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 + (10

Diagonal of a cuboid = √ 100 + 100 + 100

√ 300 = 1 7 .32 * 17.32 = 300 ( estimated as 300 is not a perfect square )

Hence , The length of the longest rod can be put in a room is 17 .32 m