4.3 Volume

Volume: The space a given object occupies, the space within (3 dimensional).You NEED a formula! Units of measure are “cubic” (ft3 or cu ft, in3 or cu in, cm3, m3)

Illustration of an engine cylinder with a cross-section view of the piston, connecting rod, valves and spark plug.

A cylinder's displacement, or swept volume, can be calculated by multiplying its cross-sectional area (the square of half the bore by pi ) and again by the distance the piston travels within the cylinder (the stroke). The engine displacement can be calculated by multiplying the swept volume of one cylinder by the number of cylinders.

Four-Stroke Dirt Bike with Optional Engine Size from 50cc to 110cc

Example1Calculate the volume of the concrete wall in cubic yards.

Example2Find the volume of the plate in cubic inches rounded to one decimal place.

• 14-inch diameter• 7/8-inch thick• ¾-inch diameter holes drilled through

Example3Calculate the volume of the house.

Example4Calculate the volume of the tank.

How much will the 5 mm thick steel tank weigh full of water.

Homework: All of the problems are assigned.You are expected to include the formulas appropriate for each problem. Show your substitution and solve in a top down manner. Don’t forget your units. Stay organized and keep your work need so I can follow.

Section 4.3:

1. 29.6 yd3

2. 9.9 yd3

3. 4.6 yd3

4. 28.9 yd3

5. 625.5 yd3

6. 5,664 in3

7. 302,987.8 mm3

8. 209.6 yd3

9. 7 yd3

10. 624 blocks

11. 780 blocks

12. 871.3 m3

13. 2,506.7 ft3

14. 863 lbs

15. 811 grams

16. a) 91 ozb) 102 ozc) 180 oz

17. 11,400 lbs

18. 80,000 lbs

19. 69 board feet

20. 960 board feet

21. 80 lbs

22. 850 min or 14 hrs and 10 min

23. 5.1 cm

24. 230,000 lbs

25. 1,580 lbs

26. 1 oz

27. 1,384 grams

28. 126 lbs

29. a) 7,699 lbsb) 11,844 gallons

30. 21,515.71 cm3

31. 2082 in3

32. 4688 in3

33. 100.5 minutes

34. 2.65 meters

35. 452.4 in3

36. 2340 gallons (2313 gallons is better if the corner overlap is considered)

37. 1019 cm3

38. 1100 gallons