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29. How much will a merchant receive for 3.68 of wine, if he sells it at $2.50 per gallon?

30. What is the weight in kilograms of 2583 cu cm of water?

31. How much will 4 tons of coal cost at $.75 per quintal?

32. Reduce 20 lb. 8 oz. Avoirdupois to hektograms.

33. How many revolutions will be made by a wheel 9 ft. in circumference in passing over a distance of one kilometer? 34. Which is the larger and how much, a cask which holds 21D or one which holds 43 gallons?

35. Change 10 hektograms to pounds Avoirdupois weight; Troy weight.

36. Find the weight in grams of a gallon of water.

37. What price per pound is equivalent to $2.20 per kilogram?

38. A square foot is what part of a square meter?

39. How many centares are there in a garden plot 10 feet square?

40. The specific gravity of granite is 2.9. What is the weight of a block 50cm long, 25cm wide, 12cm thick, in kilograms? in pounds?

41. What is the weight in kilograms of a cubic foot of water?

42. How many meters are there in 2 mi. 40 rd. 12 ft. ? 43. How many gallons are there in 24 dekaliters? 44. A man bought 50Kg of sugar for $5.51.

did he pay per pound?

How much

45. How many gallons will a cistern contain which is 3m square and 2m deep?

46. What price per bushel is equivalent to $6.60 per hektoliter?

47. If the specific gravity of copper is 8.8, what is the weight in hektograms of a cubic decimeter of the metal?

48. If a bushel of oats weighs 32 pounds, what is the weight in kilograms of 40 bu. ?

49. If a body weighs 7.35Kg in air and 4.41Kg in water, what is its specific gravity?

50. What is the weight in dekagrams of 44 cubic decimeters of zinc, if the specific gravity is 6.86?

51. A cask of olive oil containing 2 cost $36.32. What was paid per quart for the oil?

52. If a silver dollar weighs 4121 grains, how many grams does it weigh?

53. If a quire of paper is .588cm thick, what is the thickness in millimeters of a single sheet?

54. What is the value of 20 qt. of sulphuric acid at 2 cents a pound, if the specific gravity is 1.841?

55. A rectangular vessel is 5m long, 9dm wide and 3m deep. Find its capacity in cubic meters. What is the weight of distilled water at its greatest density that it will hold. 56. A liter is .264 of a gallon. gill of water make?

How many grams will a

57. A rectangular cistern is known to hold 25. If its length is 2m, its breadth 1.5m, what is its depth?

58. An importer bought silk at $1.15 per meter and sold it at a profit of 20% per yard. How much did he get for it per yard?

59. Mercury is 13 times as heavy as water, or its specific gravity is 13.5. How many pounds will a vessel hold whose capacity is 35cu em?

60. A man paid 800 francs for 100 liters of wine. What price did he pay for it per gallon?

61. A cubical block of silver whose dimensions are 2dm was sold at 20 per dekagram. If the specific gravity of silver is 10.5, for how much did it sell?

62. If alcohol is .8 as heavy as water, how many pounds Avoirdupois will 1250eu em of alcohol weigh?

MEASURES OF EXTENSION.

588. Measures of Extension are used in measuring lengths, distances, surfaces, and solids.

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mi. rd.
1320

[blocks in formation]

1760 = 528063360.

Scale.-320, 51, 3, 12.

The following are also used:

[blocks in formation]

=

= 1 Inch.

Used by shoemakers.

=1 Hand. Used to measure the height of horses.

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1. The length of a degree of latitude varies. 69.16 miles is the average length, and is that adopted by the United States Coast Survey. 2. The standard unit of length is identical with the imperial yard of Great Britain.

3. The standard yard, under William IV., was declared to be fixed by dividing a pendulum which vibrates seconds in a vacuum, at the level of the sea, at 62° Fahrenheit, in the latitude of London, into 391,393 equal parts, and taking 360,000 of these parts for the yard.

The following denominations also occur: The span 9 inches; 1 common cubit (the distance from the elbow to the end of the middle finger) 18 inches; 1 sacred cubit = 21.888 inches.

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1. The term perch or pole is sometimes used instead of rod. The rood, 40 perches, is found in old title deeds and surveys.

2. Plastering, ceiling, etc., are commonly estimated by the square yard; paving, glazing, and stone-cutting, by the square foot; roofing, flooring, and slating by the square of 100 feet.

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1. A cord of wood or stone is a pile 8 ft. long, 4 ft. wide, and 4 ft.

high.

2. A perch of stone or masonry is 16 ft. long, 11⁄2 ft. thick, and 1 ft. high, and contains 243 cu. ft.

3. A cubic yard of earth is considered a load.

4. Brick-work is commonly estimated by the thousand bricks. 5. Brick-layers, masons, and joiners commonly make a deduction of one half the space occupied by windows and doors in the walls of buildings.

6. In computing the contents of walls, masons and brick-layers multiply the entire distance around on the outside of the wall by the height and thickness. The corners are thus measured twice.

7. A cubic foot of distilled water at the maximum density, at the level of the sea, and the barometer at 30 inches, weighs 621⁄2 lb. or 1000 oz. Avoirdupois.

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1. The Linear Unit commonly employed by surveyors is Gunter's Chain, which is 4 rods or 66 feet.

2. An Engineers' Chain, used by civil engineers, is 100 feet long, and consists of 100 links.

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In some parts of the country a Township contains 36 square miles, or is 6 miles square. A square mile of land is also called a section.

1. In Texas, New Mexico, and other Spanish sections of the United States, the Spanish land measures are still in use. The unit of length is the vara, equal in Texas to 333 inches, in California to 33 inches, and in Mexico to 32.9927 inches. Counting 33} inches to the vara, 108 varas = 100 yards, and 1900.8 varas = 1 mile.

2. Land is measured in square varas, labors, and square leagues.

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