NOTE.-The formation of the are will readily be seen by the above illustrations, and in the same manner the decare and hectare are found. The hectare is a square containing 10,000 square metres.

23. How many sq. metres in the walls of a room 3 metres high, 8 metres long, and 7 metres wide?

24. How many sq. metres in the ceiling of the same room? 25. How many sq. metres in the walls and ceiling of a room 2.75 metres high, 8.5 metres long, and 6 metres wide?

26. How much will it cost to plaster the walls and ceiling of a room 8.3 metres long, 7 metres wide, and two metres high, at $1.75 per sq. metre?

27. How many square metres of boards will it take to make a box with lid 1.5 metres long, 1.3 metres wide, and 72 centimetres deep, making no allowance for thickness?

28. In 3742.74 sq. metres how many hectares ?

29. The length of a certain field is 146 m., the width is 125 m. 36 cm.; how many hectares does it contain?

30. I bought a tract of land 6 km. long and 2.57 km. wide; what was it worth at $3.40 per hectare?

31. The width of a piece of land is 300 metres, what must be the length to contain 12.24 hectares ?

32. The length of a board is 47 centimetres, what must be the width to contain 4,000 sq. centimetres?

CUBIC MEASURE.

79. The Cubic Metre or Stere is the unit commonly used by engineers in estimating the solid contents of embankments, cellars, walls, etc. It equals 1.308 cu. yards.

ms.

0 0.0 0 0 0 0 0 0 0

NOTE.-By the above illustrations will be seen the forma tion of the stere or cubic metre. In the same manner the kilostere may be found, which is a cube whose edge is 10 metres, and contains 1,000 cu. metres, or 1,000,000.litres.

33. How many cubic metres in a box 3 m. deep, 4 m. long, 25 cm. wide?

34. I have a pile of wood 36.7 metres long, 1.3 wide, and 1.8 m high; what is it worth at 27 cts. per stere?

35. How deep must be a box 2.25 m. square, to contain 9.8 steres?

36. How many steres in a wall 25 m. long, 3.4 m. high, and 24.3 cm. thick?

37. What must I give to remove the earth from a cellar 3.2 m. deep, 9 m. long, and 7.5 m. wide, at 56 cts. per stere ? 33. I wish a square box which will contain 1,000 litres of corn; what are its dimensions?

39. How many litres of wheat can be put in a box 3.4 m. long, 3.5 m. deep, and 2.1 m. wide?

DRY AND LIQUID MEASURE.

80. The Unit commonly used in the measurement of grain, roots, and liquids by the barrel, is the hectolitre. It equals 26.417 gal. wine measure, or 2.839 bu. dry measure.

81. The Unit commonly used by grocers is the litre. It equals 1.0567 qt. wine measure, or .908 qt. dry measure, or a trifle more than a wine quart.

82. To find the contents of bins or cisterns in litres. Rule-The product of the length, breadth, and thickness, in decimetres, will give the contents in litres.

40. How many hectolitres of wine in a tank 4.3 m. deep, 5 m. wide, and 6 m. long?

41. What will be the value of the wheat in a bin 4.3 m. deep, 2.4 m. long, and 1.8 m. wide, at $4.30 per hectolitre ?

42. What is the depth of a box 6 m. long and 5 m. wide, that will hold 1.250 hectolitres of corn?

43. I wish to build a cistern that will hold 2.025 hectolitres of water; how deep must it be if the top is 4.5 m. square?

44. A man bought 4.3 litres of beans; what was the cost at 37 cts. per litre?

2

45. 5.3 litres of potatoes cost $1.30; how much is that per litre?

46. Bought 1.8 hectolitre of molasses for $35; how much was that per litre?

47. What must I give for 13.2 litres of vinegar, at 8 cts. per litre ?

WEIGHT.

83. The Unit commonly used in philosophical experiments, by jewellers and druggists, is the gram. Its weight is 15.432 gr. Troy.

84. The Unit commonly used by grocers is the kilogram, commonly contracted to kilo. It is the weight of a litre of pure water, and equals 2.2046 lb., or about 2 lb. avoirdupois.

85. The Unit commonly used in weighing heavy bodies, as coal, iron, marble, R. R. freight, &c., is the Tonneau. It is the weight of a cubic metre of pure water, and equals 2204.6 lb. avoirdupois.

86. To find the weight of water is given the following Rule.-(a.) The contents in cu. centimetres equals the number of

grams.

NOTE.-A cu. metre of water weighs 1 tonneau, and a litre of water weighs 1 kilogram.