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Exercise 87

1. How many cubic inches are there in a cube 4 in. long?

2.

4.

How

many cubic feet are there in a cube 5 ft. long?

3. Two cubic yards are how many cubic feet? How many cubic inches are there in 3 cu. ft.? 5. A cubical box 5 ft. long will hold how many bushels of oats, estimating that 1 bu. equals 1 cu. ft.?

6. How many bushels of wheat will a cubical box hold that is 3 ft. long, estimating that 1 bu. of wheat equals 11 cu. ft.?

7. How many cubic inches are there in a rectangular solid 3 in. long, 2 in. wide, and 1 in. high?

8. How many cubic feet of sand will a box hold that is 5 ft. long, 4 ft. wide, and 2 ft. high?

9. How many cubic feet of air are there in a room 15 ft. long, 12 ft. wide, and 9 ft. high?

10. How many cubic yards of earth must be removed. in digging a cellar 27 ft. long, 18 ft. wide, and 10 ft. deep?

II. Show that there are 128 cu. ft. in a cord.

12. How many cubic inches are there in a cube 12 in. long?

13. Show that a vessel 11 in. long, 7 in. wide, and 3 in. deep holds 231 cu. in., or 1 gal.

14. How many gallons of water will a cistern hold that is 28 ft. long, 22 ft. wide, and 12 ft. deep?

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15. One bushel equals about 1 cu. ft. At this estimate, how many bushels of wheat will a granary hold that is 10 ft. long, 8 ft. wide, and 5 ft. deep?

16. One heaped bushel equals about 1 cu. ft. At this estimate, how many bushels of potatoes will a bin hold that is 15 ft. long, 10 ft. wide, and 6 ft. deep? How many bushels of apples will the bin hold?

17.

Find the combined length of the edges of a cube 2 ft. long.

18. How many cubic feet are there in a cube 21 ft.

long?

19.

Show that 27 cu. ft. equals 1 cu. yd.

20. Show that a cubic foot contains 1728 cu. in.

21. What part of a cubic foot does a cube contain that is ft. long?

22. How many cords of wood are there in a pile 256 ft. long, 4 ft. wide, and 4 ft. high?

23. A certain mow of hay is 40 ft. long, 20 ft. wide, and 16 ft. high. Estimating 400 cu. ft. to the ton, how many tons of hay are there in this mow?

24. How many loads of earth, estimating a cubic yard to a load, must be removed in digging a cellar for a house 32 ft. long, 18 ft. wide, and 9 ft. deep? Cancel.

25. What is the weight of the water that a tank 4 ft. long, 2 ft. wide, and 1 ft. deep will hold, water weighing 621 lb. per cubic foot?

26. Milk is about 1.03 times as heavy as water, which weighs 62.5 lb. per cubic foot. What is the weight of 4 cubic feet of milk?

REVIEW

Exercise 88

197

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Answer the following at sight:

37. How many pounds are there in a long ton?

38. Name four articles that are bought by the short ton.

39. What is the weight of a barrel of flour?

40. Name the centennial years, beginning with 1500 and ending with 1900.

41. Is the present year a leap year? 42. When was the last leap year?

43. When will the next leap year be?

44. How many hours are there from midnight to

noon?

45. How is the third hour of the day written?

46. What is the thirteenth hour of the day called? 47. How many hours are there from 9 P.M. to 3 A.M. of the next day?

48. How is the sixth hour after noon written?

49. How is seven hours and fifteen minutes after midnight written?

50. How deep is the sea at a certain point, if it is 100 fathoms deep?

51. What does 12.01 P.M. mean?

52. How many hours are there from 8.30 A.M. to 12.30 P.M.?

53. Was the year 1800 a leap year?

54. A man's journey began at 10 P.M. and lasted 8 hours; when did it end?

55. Name the months that have 31 days.

56. Which is the longer, and by how many feet, a knot or a statute mile?

57. How many inches are there in 15 hands?

58. How is the area of a square found?

59. What is meant by the perimeter of a square?

60. How is the area of a rectangle found?

61. How is the number of cubic units in a cube found?

62. How many cubic inches are there in a wine gallon?

63. How is the number of cubic units in a rectangular solid found?

64. Tell how long, how wide, and how high a cord of wood is.

65. How many feet are there in a mile?

66. How many cubic feet are there in a rectangular solid 2 ft. long, 1 ft. wide, and ft. high?

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