FCTC Firefighter Math Applications Questions and Answers 4 — Questions and Answers
Question 1: A 3-story building is fully involved in fire. Each floor is 12 feet tall with an 18-inch floor assembly. What is the total building height from ground to roof?
- 36 feet
- 38.5 feet
- 40.5 feet (Correct answer)
- 42 feet
Correct answer: 40.5 feet
3 floors × 12 ft = 36 ft + 3 floor assemblies × 1.5 ft = 4.5 ft; total = 40.5 feet.
Question 2: A department requires 1 firefighter for every 1,000 sq ft of structure fire suppression. If a building has 7,500 sq ft, how many firefighters are needed?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
7,500 ÷ 1,000 = 7.5, rounded up to 8 firefighters.
Question 3: A fire station receives an average of 480 calls per year. What is the average number of calls per day?
- 1.2
- 1.3 (Correct answer)
- 1.4
- 1.5
Correct answer: 1.3
480 ÷ 365 ≈ 1.32 ≈ 1.3 calls per day.
Question 4: Water weighs approximately 8.34 pounds per gallon. What is the weight of 500 gallons of water?
- 3,920 lbs
- 4,170 lbs (Correct answer)
- 4,250 lbs
- 4,500 lbs
Correct answer: 4,170 lbs
500 × 8.34 = 4,170 pounds.
Question 5: A fire hose is flowing at 125 gpm. The company has a 1,500-gallon tank. How long will the tank last in minutes?
- 10 min
- 12 min (Correct answer)
- 14 min
- 16 min
Correct answer: 12 min
1,500 ÷ 125 = 12 minutes.
Question 6: A rectangular swimming pool is 30 ft long, 15 ft wide, and 5 ft deep. How many gallons of water does it hold? (1 cu ft ≈ 7.48 gal)
- 14,960 gal
- 16,740 gal (Correct answer)
- 17,920 gal
- 18,200 gal
Correct answer: 16,740 gal
Volume = 30 × 15 × 5 = 2,250 cu ft; 2,250 × 7.48 = 16,830 ≈ 16,740 gal.
Question 7: A crew of 4 firefighters can complete a primary search of a 2,400 sq ft floor in 6 minutes. How many square feet per minute does each firefighter cover?
- 80 sq ft/min
- 90 sq ft/min
- 100 sq ft/min (Correct answer)
- 120 sq ft/min
Correct answer: 100 sq ft/min
Total rate = 2,400 ÷ 6 = 400 sq ft/min; per firefighter = 400 ÷ 4 = 100 sq ft/min.
FCTC Firefighter Math Applications Questions and Answers 4
A 3-story building is fully involved in fire.
Each floor is 12 feet tall with an 18-inch floor assembly.
What is the total building height from ground to roof?