28. A room is 18 ft. long, 15 ft. wide, and 9 ft. high. How many square yards are there in the walls, floor, and ceiling of the room?

29. A city lot is 30 ft. front by 60 ft. deep. If it sells at $5 per square foot, how much is the lot worth? If it sells at $75 per front foot, how much is it worth?

30. A garden 40 ft. by 60 ft. has a gravel walk 4 ft. wide around it. How many square feet are there in the walk ? Illustrate by a diagram.

31. A room is 15 ft. by 18 ft.; how many square yards of plastering are there in the ceiling? How many yards of carpeting of a yard wide will it take to cover the floor? Which way should the carpet be laid?

32. A wall is 20 ft. long and 10 ft. 6 in. high, with an 18 in. base board. How much will it cost to plaster the wall at 12 a square yard? If this wall is one side of a room 16 ft. wide, how much will it cost to plaster the walls and ceiling at the same rate, making no allowance for doors or windows?

33. How many tiles 6 in. by 4 in. will it take to cover the floor of a hall 8 ft. by 6 ft.?

34. How much glass is there in 12 windows of 12 panes each if each pane contains 2 sq. ft. 8 sq. in.?

35. How many feet of lumber are there in ten boards 14 ft. long, 6 in. wide, and 1 in. thick?

36. How many feet of lumber are there in nine joists 18 ft. long, 8 in. wide, and 2 in. thick?

37. Find the cost at $24 per M of 17 boards 16 ft. long, 10 in. wide, and 1 in. thick, of 8 scantlings 14 ft. long, 4 in.

wide, and 2 in. thick, and of 18 joists 12 ft. long, 6 in. wide, and 24 in. thick. Put in the form of a receipted bill.

38. How much will it cost for the flooring for a floor 21 ft. by 16 ft. at $25 per M, allowing nothing for waste? Flooring is supposed to be 6 in. in width.

39. If a thousand shingles are needed to cover 100 sq. ft. of roof, how many thousand shingles are required to cover a gable roof 50 ft. long, each of the two sides being 22 ft. wide? What will be the cost of the shingles at $4 per M?

40. Measure a door in the schoolroom and the width of its casing, and find the number of square feet in the surface of the door and in the surface of the casing.

41. How many strips of carpet 1 yd. wide will be required for a floor 24 ft. wide and 30 ft. long if the strips are laid lengthwise? If laid crosswise? Remember that carpet is sold by the number of yards in length without regard to its width.

42. A room 20 ft. by 18 ft. is to be covered with carpet 27 in. wide, worth $1.50 per yard. After the first strip, it is necessary to cut off 9 in. from each of the remaining strips in order to match the figures. How much will it cost to carpet the room?

43. How many square feet are there in a floor 14 ft. 7 in. wide and 19 ft. 4 in. long?

44. At 121 a square yard, how much will it cost to sod a lawn 40 ft. long by 36 ft. wide?

45. A string 40 ft. long was used to outline a square flower bed, the string reaching entirely around it. What were the dimensions of the bed? What was its area? If the bed had the same area and was 20 ft. long, what length of string would be required to go around it?

46. The distance between two cities is 55 miles.

How

many times will an engine wheel 18 ft. 6 in. in circumference turn in making the trip?

47. From a cask of oil containing 33 gal., 18 gal. 3 qt. were drawn. How much remained?

48. How many baskets each holding 3 pk. can be filled with 12 bu. of apples?

49. How many ties will be laid on 20 ft. of a railroad, if the ties are laid 2 ft. from center to center? Draw a figure showing that your answer is correct. How many ties will

there be on 24 ft. of the road? On 32 ft. of the road? How much will it cost for the ties for one mile of such a road at $.40 per tie, if the ties are laid 2 ft. from center to center?

50. How many barrels, each take to hold 100 bu. of apples? be in the last barrel?

holding 2 bu. 3 pk., will it How many pecks will there

51. If it requires 12 qt. of oats per day to feed a horse, how many days will 6 bu. 3 pk. last a span of horses?

52. If a train travels 85 miles in 2 hr. 30 min., what is

53. At $7 a cord, what is the cost of a load of wood 12 ft. long, 4 ft. wide, and 31 ft. high?

54. A farmer sells 3 loads of hay, each containing 1785 lb. If he sells it at $7 per ton, how much does he receive for it?

55. If 12 equal bins hold 430 bu. 2 pk. of wheat, how much wheat is there in each bin?

56. How many bushels of wheat are there in 12 bins, each containing 124 bu. 3 pk. 5 qt.?

57. Reduce 2 pk. 7 qt. to the decimal of a bushel.

58. If 9 bu. 2 pk. of potatoes cost $3.80, what is the average cost per bushel? Per peck?

59. If a school uses 24 crayons a week, it will use how many gross of crayons in 36 weeks?

60. If a dealer buys pencils at $3.50 per gross and sells them at 5 apiece, how much does he gain on each gross? On 30 dozen?

61. A tank 2 ft. wide, 4 ft. high, and 6 ft. long will contain how many gallons? How many bushels?

62. A cube is 4 in. square. If all the sides are covered with paper, how many square inches of paper are required?

63. How many cubic yards of earth will be taken out in digging a cellar 20 ft. long, 12 ft. wide, and 5 feet deep? 64. How many bushels of oats will a bin 8 ft. by 6 ft. by 5 ft. contain?

65. During a heavy rain, 2 in. of water fell. How many gallons of water fell on a garden 60 ft. by 80 ft.?

66. If a schoolroom is 24 ft. wide, 36 ft. long, and 10 ft. high, how many cubic feet of space will there be to each of 40 pupils?

67. How many feet of boards are required for a coal bin in the corner of a cellar, so constructed that the walls of the cellar form two sides of the bin, and the floor of the cellar, the bottom of the bin, the bin being 12 ft. long, 6 ft. wide, and 8 ft. high?

68. A cask holds 52 gallons of water. The contents will fill how many bottles, if it requires 5 bottles to hold one gallon of water?

69. Sound travels 1120 ft. per second. A hunter sees the flash of a gun at a distance, and 4 seconds later hears the report. What fraction of a mile distant is he from the gun?

70. When shingles are laid 4 in. to the weather, how many shingles will cover the two sides of a roof, each side being 40 ft. by 20 ft.?

NOTE. Shingles are 16 in. long and of different widths, but in reckoning, each width of 4 in. is considered one shingle, and a bundle of shingles is considered as made up of 250 shingles 16 in. long and 4 in. wide. If a shingle is laid 4 in. to the weather, then each shingle will cover 16 sq. in. of space.

71. If a shingle is laid to the weather, how many shingles does it take to cover a square foot? When the length and width of a roof are given, and shingles are laid to the weather, what is the process of finding the number of shingles required to cover the roof? How can you find the number of bundles of shingles required to cover the roof?

REVIEW

146. 1. State the difference between a simple denominate number and a compound denominate number. How may

the latter be changed to the former?

2. Define quantity; measure. What is meant by measuring a quantity?

3. Define surface; angle; right angle. Give an example of each.

4. What is the difference between a square and a rectangle?

5. How many dimensions has a line? A square? A solid?