NOTE. Since a bushel contains 2150.42 cu. in., and a cubic foot 1728 cu. in., a bushel contains 1 cu. ft., nearly. Hence, practically, any number of cubic feet diminished by of itself will represent an equivalent number of bushels.

And any number of bushels increased by of itself will represent an equivalent number of cubic feet.

Thus, if a bin contain 120 cu. ft., 120 of 120 = 96, the number of bushels the bin will hold.

And, if a bin will hold 96 bu., 96 + † of 96 = 120, the number of cubic feet in the bin.

26. Find the number of bushels in a bin that is 8 ft. long, 4 ft. wide, 3 ft. deep.

27. Find the number of bushels in a bin 9 ft. long, 6 ft. 6 in. wide, 3 ft. 4 in. deep.

28. Find the depth of a bin to hold 360 bu., if its length be 12 ft. and its width 6 ft.

29. Find the length of a bin that is 6 ft. wide and 5 ft. deep, if it hold 400 bu.

30. Find the number of bushels that will fill a bin 8.5 ft. long, 4.5 ft. wide, 3.5 ft. deep.

31. A bin 20 ft. long, 12 ft. wide, and 6 ft. deep, is full of wheat. What is its value, at $1.25 a bushel?

32. If a ton of coal occupy 40 cu. ft., how many tons will a

bin hold that is 21 ft. long, 10 ft. wide, 5 ft. deep? 33. If a ton of Lehigh coal occupy 35 cu. ft., how many tons will a bin hold that is 8 ft. long, 5 ft. 9 in. wide, 4 ft. 6 in. deep?

Ex. How many gallons will a cistern hold that is 5 ft. square and 6 ft. deep?

259,200 cu. in. ÷ 231 cu. in. = 1122,.

Therefore, the cistern will hold 1122, gals.

34. Find the number of gallons that a cistern will hold that is 13 ft. long, 6 ft. wide, 7 ft. 4 in. deep.

35. Find the number of gallons that a tank will hold that is 4 ft. long, 2 ft. 8 in. wide, 1 ft. 8 in. deep.

36. Find the number of gallons in a cubic foot.

NOTE. In practice, 7 gallons are allowed for a cubic foot.

37. Find the capacity of a cistern, in cubic feet, that will hold 200 barrels of water.

It is to be observed that the capacity of a round cistern is found by multiplying the area of the base by the depth.

38. Find the number of gallons that a round cistern will hold that is 6 ft. in diameter and 7 feet deep. 39. Find the number of gallons that a vessel will hold that is 12 in. in diameter and 10 in. deep?

40. How many quarts will a round vessel hold 5 in. in diameter and 6 in. deep?

It will be remembered that the capacity of a sphere is found by multiplying the cube of the diameter by .5236 († of 3.1416). 8211. 41. Find the number of cubic inches in a sphere 11 in. in

diameter.

42. How many quarts will a sphere hold that is 12 in. in diameter?

43. What part of a bushel will a hemispherical bowl hold that is 13 in. in diameter?

44. If a cubical box 2 ft. on an edge contain a solid sphere 2 ft. in diameter, how many gallons of water can be poured into the box?

45. If 64 qts. of water be poured into a vessel that will hold 2 bu. of wheat, what part of the vessel will be filled?

SPECIFIC GRAVITY.

It will be remembered that the specific gravity of any substance is the number of times the weight of the substance contains the weight of an equal bulk of water.

One cubic foot of water weighs 1000 ounces avoirdupois.

8 212.

46. Find the number of cubic inches in 1 oz. (av.) of water. 47. Find the weight in ounces (av.) of 1 cu. in. of water. 48. Find the weight in ounces (av.) of 1 pt. of water. 49. Find the number of pints in 1 lb. of water.

50. Find the weight, in grains, of 1 cu. in. of water. 51. Find the specific gravity of a bar of iron 5 in. long, and 2 in. square, if it weigh 5 lbs.

52. Find the specific gravity of a bar of iron 18 in. long, 2

in. wide, 1 in. thick, if it weigh 18 lbs. 9 oz.

53. Find the number of cubic inches to the pound of iron, if its specific gravity be 7.48.

54. Find the number of cubic inches in 2 lbs. 6 oz. of gold, if its specific gravity be 19.36.

55. How many pounds does a boy lift in raising a cubic foot of stone under water, if its specific gravity be 21? 56. A square-built scow 12 ft. long, 6 ft. wide, sinks 5 in. in water. What does it weigh, and how many pounds will be required to sink it 7 in. deeper?

57. A square-built scow 11 ft. long, 5 ft. wide, weighs 320 lbs. and is loaded with 750 lbs. of stone. How deep will it sink in the water?

58. How many tons of ice, specific gravity .93, can be packed in a building 50 ft. long, 40 ft. wide, 20 ft. high? 59. If an iceberg weigh .9 of an equal bulk of sea-water, how many cubic yards in an iceberg 40 rds. long, 6 yds. wide, and rising 160 ft. out of the sea?

60. If a cubic foot of brick wall weigh 90 lbs. and contain 22 bricks, with the mortar, what is the weight and the specific gravity of a brick and its share of mortar. 61. What is the weight of a brick wall 40 ft. long, 20 ft. high, and 1 ft. thick, if the specific gravity of a brick with its mortar be 1.46; and how many thousand bricks will be required for the wall, allowing 22 for a cubic foot?

to

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These tables are given for reference, and not to be committed memory. It may be well, however, to keep in mind that a meter is 39.37 in.; a square meter is (39.37) 1550 sq. in.; a cubic meter is (39.37)3 = 61,025 cu. in.; a liter is 1.0567 liquid qts.; and .908 dry qts.; and that a gram is 15.432 grs.; as by these equivalents all measures expressed in one system may be converted into measures of the other.

In solving the following examples the student will take his equivalents from the table, taking three places of decimals, or four when the first decimal figure is zero, and add one to the last decimal figure when the next is 5 or more

(1) Reduce 25.55kg to avoir- (2) Reduce 5 sq. yds. 6 sq. ft. 108 sq. in. to square

dupois weight.

2.205 lbs. 1kg.

=

meters.

5 sq. yds. 6 sq. ft. 108 sq. in.

25.55

11025

=

5.75 sq. yds.

11025

11025

.836qm = 1 sq. yd.