Question

Find the length of the longest road that can be fitted into the cuboid having dimensions 1m,0.5,​

Answer 1

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Find the length of the longest rod that can be put in a room of 10m×10m×5m dimensions.

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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.

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Answer 2

Answer:

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.