In a 180-foot long corridor that is 10 feet wide, how many smoke detectors with a 30-foot spacing are required?

To determine the number of smoke detectors needed for a 180-foot long corridor with a spacing requirement of 30 feet, you can follow the procedure of evaluating the total length to be covered by smoke detectors and dividing it by the spacing distance.

First, the total length of the corridor is 180 feet. By applying the spacing requirement of 30 feet, you can calculate the number of detectors needed. Divide the total length of the corridor by the spacing distance:

180 feet ÷ 30 feet per detector = 6 detectors.

This result indicates that you need detectors placed at intervals of 30 feet along the 180-foot long corridor. The calculation shows that you need detectors at the 0, 30, 60, 90, 120, 150, and 180-foot marks, resulting in a total of 6 detectors required to adequately cover the full length of the corridor while adhering to the required spacing guidelines.

This ensures sufficient coverage and compliance with safety standards for smoke detection in the specified area.