Question

Find the length of the longest pole that can be fit in the room of dimension 28m x 8m x 6m​

Answer 1

The longest pole can be fit in the room of dimensions 1344

Answer 2

Given :-

The dimensions of a room are 28 m × 8 m × 6 m

To find :-

The length of the pole that can be fit in the room.

Solution :-

Given that

The dimensions of a room = 28 m × 8 m × 6 m

Length of the room (l) = 28 m

Breadth of the room (b) = 8 m

Height of the room (h) = 6 m

The length of the pole that can be fit in the room is the length of the diagonal of the room

We know that

The length of the diagonal of a room (d) = √(l²+b²+h²) units

The length of the diagonal of the room

=> d = √(28²+8²+6²) m

=> d = √(784+64+36) m

=> d = √884 m or 29.73 m (approximately)

The length of the diagonal = √884 m or 29.73 m

Answer :-

The length of the longest pole that can be fit in the room is √884 m or 29.73 m

Used formulae:-

• The length of the diagonal of a room (d) = √(l²+b²+h²) units

• l = length
• b = breadth
• h = height