Question

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QUESTION⬇⬇ :-
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fins out the length of the longest rod that can be placed in a room with dimension
20M*20M*10M
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Answer 1

Answer:

30m

Step-by-step explanation:

SOLUTION :

Given:

Length of a room(l) = 20 m

Breadth of a room(b) = 20 m

Height of a room(h) = 10m

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 = √ (20)² + (20)² + (10)²

Diagonal of a cuboid = √ 400 + 400 + 100

Diagonal of a cuboid = √ 900

Diagonal of a cuboid = √ 30 × 30  = 30 m

Hence , The length of the longest rod can be put in a room is 30 m.

Answer 2

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.