FCTC FCTC Firefighter Math Applications Questions and Answers 3

Question 1

A fire suppression system covers 3,500 square feet. Each sprinkler head covers 130 square feet. How many sprinkler heads are needed? (Round up to the nearest whole number.)

Accepted Answer

27

Answer

3,500 ÷ 130 = 26.9, which rounds up to 27 sprinkler heads.

Question 2

A firefighter's total turnout gear weighs 45 pounds and a charged hose line exerts 30 pounds of back pressure. If the firefighter weighs 185 pounds, what is the total effective weight being supported?

Accepted Answer

260 pounds

Answer

185 + 45 + 30 = 260 pounds total effective weight.

Question 3

A 2.5-inch hose has a friction loss of 15 PSI per 100 feet. If the hose lay is 350 feet long, what is the total friction loss?

Accepted Answer

52.5 PSI

Answer

(350 ÷ 100) × 15 PSI = 3.5 × 15 = 52.5 PSI total friction loss.

Question 4

A fire department responds to 1,440 calls per year. What is the average number of calls per day?

Accepted Answer

4

Answer

1,440 calls ÷ 365 days ≈ 3.9, but 1,440 ÷ 360 = 4 calls per day using standard rounding.

Question 5

A structure fire room measures 20 feet × 15 feet × 9 feet (height). What is the total volume of the room in cubic feet?

Accepted Answer

2,700 cubic feet

Answer

Volume = length × width × height = 20 × 15 × 9 = 2,700 cubic feet.

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FCTC FCTC Firefighter Math Applications Questions and Answers 3