Question

The length of the longest pole that can be kept in a room (12 m × 9 m × 8 m) is ______.

Options

• 29 m

• 21 m

• 19 m

• 17 m

Answer 1

The length of the longest pole that can be kept in a room (12 m × 9 m × 8 m) is 17 m.

Explanation: 

Length of the longest pole that can be kept in a room = Length of the diagonal of the room

`=sqrt("l"^2 + "b"^2 + "h"^2 m)`

`= sqrt((12)^2 + (9)^2 + (8)^2 "m")`

`= sqrt(289)  "m"`

`= 17  "m"`