Question

Find the length of the longest rod that can be placed in a room of 12 ft. long, 9 ft broad and 8 ft. high.

Answer 1

Given: Room dimensions: length = 12 ft, breadth = 9 ft, height = 8 ft.

Step-wise calculation:

1. The longest rod that can fit is the space diagonal of the rectangular box room.

2. Use 3D Pythagoras:

`d = sqrt(l^2 + b^2 + h^2)`

3. Substitute values:

`d = sqrt(12^2 + 9^2 + 8^2)`

= `sqrt(144 + 81 + 64)`

= `sqrt(289)`

= 17 ft

The length of the longest rod that can be placed in the room is 17 ft.