Math Flashcards
7ft in length, 5ft wide and 3ft deep, how much water can be held in engine 17s water tank?
7x5x3=105
A tank with 12’ diameter holds 864 gallons per foot of depth, how many gallons will a tank with 12’ diameter hold if it is 5’ deep?
864 x 5=4320
Engine 33 is traveling 351 miles to assist in mutual aid. They have to drive 216 miles in 4 hours. What is their average speed?
216/4=54
There are 6 sections of 100’ wild land hose and 9 sections of 80’ structural hose. 5 sections of structural hose fail, what is the total amount of structural hose that failed?
So you want to only focus on the 80’ structural hose. Each section of the structural hose is 80’. If 5 sections are failing hose. You would have to multiply 80 times 5 and it equals 400 feet.
Engine carries 1,100ft of 2 1/2inch, 900ft of 4 inch and 1000ft of 4 1/2 ; if the 4 inch was removed what percentage was removed from the total ?
1,100+900+1,000=3,000
900/3,000=.30 or 30 percent
For a fire on the fourth floor, you need 100psi at the nozzle, for each floor above the first floor you loose 5psi, for every 100ft of hose you lose 15psi. There are 400ft of hose used to get to the fire. What is the total pressure needed at the engine ?
Each floor you loose 5psi. So there are 4 floors. 20 psi lost
For every 100ft of hose you lose 15 psi. So there are 400ft of hose. 15 times 4 equals 60
You need 100 psi at the nozzle for the fire.
100+20+60=175 psi needed for the nozzle.
If an acre is equal to 43,560 square ft and a fire burned 250ft wide and 1200ft long, how many acres were burned ?
An acre=43,560 square feet
250 times 1200 because you need to find the total distance of the acres burned. So the equation equals 300,000
You need to convert the 300,000 and 43,560 to figure out the number of acres burned. So you divided 300,000 by 43,560 equals 6.88 acres
1/4 of her back burned, 1/4 of her front burned, 1/3 of her head burned, 1/2 of her arm burned. Entire back = 20% , entire front = 20%, entire head = 15% entire arm = 15%. Determine what percentage total is burned?
¼ back is burned: 5 percent is burned
¼ front is burned: 5 percent is burned
⅓ head is burned: 5 percent is burned
½ arm is burned: 7.5 percent is burned
So then you add the percent that is burned 5+5+5+7.5=22.5
County responded to 18,462 calls. 44 percent of the calls were vehicle accidents. What is the total number of vehicle accidents?
The total calls were 18,462 and 44 percent of the calls were vehicle accidents. So you would multiply 18,462 by .44 equals 8123.38
You and your 3 firefighters work 1 week and 4 days how many hours has your crew been there?
So your looking for how many hours you will work. 1 week and 4 days equals 11 total days. 11 times 24 hours equals the total time the crew was at the station. Total hours is 264 hours.
What is the minimum length ladder needed to reach the roof of a 3 story house? Building story average 12ft floor to floor and the distance from the window sill is 4 feet. You need to have 4 feet above the sill.
Each story of the house is 12 feet in height, and since it’s a 3-story house, the total height from the ground to the roof is
3×12=36 feet.
Given that there’s a 4-foot distance from the window sill to the ground and you need 4 feet above the sill, the total vertical distance the ladder needs to cover is 36+4=40 feet.
If a pile of fire wood is 6 feet long, 4 feet high and 2 feet wide how many cubic feet is it?
To calculate cubic feet is length x height x width. 6 x 4 x 2=48
During a preplan process of a building, you must obtain the square footage. You have a strip mall with two occupancies. One occupancy measures 96’ x 52’ and the other measures 114’ x 52’. What is the approximate square footage for this building?
95x52=4,940
114x52=5,928
4,940+5,928=10,868
About 11,000
How many square feet are in a circle with a radius of 5 feet?
(5*2)(3.14)
25(3.14)
78.54
how many 2 pints fit in a 5 gallon drum
There are 8 pints in a gallon. Then it would be 8 x 5=40. But because it says a two pint. You divide 40 by 2 and you get 20 pints.
