Math For Plumbers
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Plumbers use daily math for precise pipe fitting, drainage slopes, and volume calculations, relying on basic arithmetic, fractions, decimals, geometry, and trigonometry. Key skills include measuring lengths, calculating pipe offsets using a 1.414 multiplier for 45 degree angles, calculating volume (L * W * H), and converting units like inches to feet.  Essential Math Applications for Plumbers: Fractions & Decimals: Crucial for reading tape measures (inches, sixteenths) and converting them to decimal feet for volume calculations. 45-Degree Offsets: To find the travel distance, multiply the... Show more
Math For Plumbers
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25 Questions

1. A plumbing distribution system has 330 ft. of 1/2-in. copper pipe. What size bucket, in gallons, would you need to drain the whole system?
2. What is the area in square inches of a manhole cover that is 2 ft. in diameter?
3. What is the sum of 1 ft. 8 in. and 20 in.?
4. What is the sum of 5/8 in. and 7/8 in.?
5. What is 4 ft. minus 6 7/8 in.?
6. What is 5/8 in. minus 5/8 in.?
7. The label is missing from a leaking water heater. What is the volume of the tank in gallons if the radius of the top is 9 in. and the height of the tank is 48 in.?
8. Antifreeze needs to be added to a heating system as a 50% antifreeze-water solution. How much straight antifreeze is needed to fill the two manifold pipes that are both 4 ft. 3 in. long and have a diameter of 2 in.?
9. Julio must offset a 1 1/2-in. copper pipe a distance of 12 in. using 45-degree elbows. How long must the diagonal pipe be if the fitting allowance for a 1 1/2-in. copper 45-degree elbow is 9/16 in.?
10. A pipe that is 85 ft. long has an inside diameter of 2 in. How many gallons of water will it take to fill it?
11. How many 1/8-in. are there in 4 in.?
12. What is 3 ft. 3 1/8 in. minus 2 ft. 3/4 in.?
13. Julio drilled a hole through a wall for a pipe to pass through. The outside diameter of the pipe is 2 1/4 in. There is 1/4 in. of clearance on all sides of the pipe to the edge of the hole. What is the circumference of the hole?
14. Pat kicks over a bucket of antifreeze that is 12 in. in diameter and 19 in. tall. The level of the antifreeze was 10 in. down from the top before Pat kicked it over. How much antifreeze, in gallons, did Pat have to clean up?
15. A pitch of 1/4-in. per foot must be maintained on a drainpipe that is being hung under floor joists. On the upstream end of the pipe, it measures 12 7/8 in. from the underside of the floor above to the centerline of the pipe. What will the measurement be from the underside of the floor to the centerline of the pipe 18 ft. downstream?
16. If a 50-ft. length of a 24-in. diameter storm drain is running half full, how many gallons of water are in the pipe?
17. To the nearest 1/16 in., how long must a piece of tape be to just go around a section of pipe insulation that has an outside diameter of 3 1/4 in.?
18. Evan must offset two parallel copper pipes 14 in. using 45-degree elbows. One of the pipes is 3/4 in. in diameter and the other is 1 in. in diameter. The fitting allowance for 3/4-in. pipe is 1/4 in. and for 1-in. pipe, it is 5/16 in. The two pipes must remain 3 in. apart, center to center, throughout the offset. How long must each diagonal pipe be?
19. The pitch of a large sewer is 1/8-in. per foot. What is the difference in elevation from the sewage treatment plant to the end of the sewer main, which is 1,575 ft. away?
20. A sheet of insulation blanket must be cut to cover the sides of a tank with a diameter of 10 in. and a height of 22 in. What must the dimensions of the blanket be to cover only the sides of the tank?
21. Two parallel 1/2-in. copper pipes must be connected on the end using two 90-degree elbows forming a U shape, which have a fitting allowance of 3/8 in., and a piece of 1/2-in. copper pipe. The two parallel pipes must be kept 8 in. apart, measured center to center. How long must the connecting piece of pipe be?
22. 8 ft. 3 1/4 in. minus 1 ft. 4 1/2 in. equals what?
23. The volume of a section of pipeline is 182,822 cubic inches. How many gallons will it hold?
24. Evan cut the 5-in. diameter hole for a water closet flange in the wrong place. He must cut a new hole 4 1/8 in., measured center to center, to the left of the original hole. Will the holes overlap?
25. A 2 3/8-in. hole must be drilled through the center of a 2 x 6 stud. How much wood will be left on each side of the hole? Remember, a 2 x 6 is really 1 1/2 x 5 1/2 in.

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