Union Math Short Cut.

Question 0

2. How shall you convert feet and inches into decimal feet?

Answer 0

Change inches into decimal, then divide by 12.

Question 1

1. How shall you convert fraction to a decimal?

Answer 1

Divide denominator into numerator.

Question 2

3. How shall you convert decimal feet into feet and inches?

Answer 2

Multiply by 12 - then multiply reminder by 8 to d get to the nearest 1/8”.

Question 3

4. What is multiply?

Answer 3

It is over divide.

Question 4

5. Formulas for 45* offset?

Answer 4

1. Travel = offset or advance x 1.414.
2. Offset or advance = travel x .707,
3. Offset or advance = travel / 1.414.

Question 5

6. Formula for rise?

Answer 5

Rise = spread x .414

Question 6

7. Diagram for grade/slope/pitch?

Answer 6

TF
———- divide
G. |. D
multiply.

Question 7

8. Formulas for grade/slope/pitch?

Answer 7

1. Total fall = grade x distance (answer in inches).
2. Grade = total fall / distance (answer in parts of an inch).
3. Distance = total fall / grade (answer in decimal feet change to feet and inches).
4. Total fall = %grade x distance (answer in decimal feet change to feet and inches).

Question 8

9. Formula for perimeter of a rectangle/squar?

Answer 8

P = 2 lengths + 2 widths.

Question 9

10. Formula for area of a rectangle/square?

Answer 9

A = length x width.

Question 10

11. Formula for circumference of a circle outside diameter of a pipe?

Answer 10

C = 3.1416 x diameter.

Question 11

12. Formulas for area of a circle, inside diameter of a pipe, cross-sectional area. of a pipe?

Answer 11

A = 3.1416 x radius^2.
A = .7854 x diameter^2.
Answer will be in square inches or square feet.

Question 12

13. Formula for area/volume/capacity of a rectangle/square?

Answer 12

V = length x width x height.

Answer will be in cubic inches or cubic feet.

Question 13

14. Formula for volume of a cylinder/tank?

Answer 13

V = 3.1416 x radius^2 x height.
V = .7854 x diameter^2 x height.
Answer will be in cubic inches or cubic feet.

Question 14

15. How much does 1 gallon of water weights?

Answer 14

8.34 lbs.

Question 15

16. How many gallons has 1 cubic foot of water?

Answer 15

7.48.

Question 16

17. How many cubic inches has 1 cubic foot?

Answer 16

1728.

Question 17

18. How many cubic inches has 1 gallon?

Answer 17

231.

Question 18

19. How many pounds has 1 cubic inch of water?

Answer 18

0.0361 lbs.

Question 19

20. How much does 1 cubic foot of water weight?

Answer 19

62.4 lbs.

Question 20

21. How many lbs/sq.inch does 1 foot high column of water exert?

Answer 20

.434 psi.

Question 21

22. How will 1 psi raise water?

Answer 21

2.31 feet or 27 3/4”.

Question 22

23. What is atmospheric pressure?

Answer 22

14. 7 psi.
15. 9’.
16. 7 head pressure.

Question 23

24. Constant %?

Answer 23

100ths = .00

Question 24

25. What is usually PPF?

Answer 24

1/8” or 1/4” per foot pitch.

Question 25

26. What is AFF?

Answer 25

Above finish floor.

Question 26

27. What is invert?

Answer 26

Inside bottom of pipe or trench.

Question 27

28. What is usually % of grade?

Answer 27

1% or 2%.

Question 28

29. Formulas for % rate?

Answer 28

Portion = base x % rate.
% rate = portion / base.
Base = portion / % rate.