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12. How wide must a piece of land be that is 17 rods long to make an acre ?

13. How many square inches in a square foot; that is, in a figure that is 12 inches long and 12 wide?

14. How much in length, that is 8 inches wide, will make a square foot ?

15. How many square feet in a square yard?

16. How many square yards in a square rod ?

17. How many square inches in a square yard?

18. A piece of land 20 rods long and 2 rods wide, or in any other form which contains the same surface, is called a rood. How many square rods in a rood?

19. How many roods make an acre ?

20. Find the numbers for the following table.

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21. How many square inches in a square rod ?
22. How many square yards in an acre?
23. How many square inches in an acre?

24. How many square feet in 1728 square inches?
25. In 286 square poles how many acres?

26. In 201,283,876 square inches, how many acres? 27. How many square rods in a square mile?

28. How many acres in a square miles?

29. The whole surface of the globe is estimated at about 198,000,000 square miles. How many acres on the surface of the globe ?

30. How many square inches in a board 15 inches wide and 11 feet long? How many square feet?

31. How many acres in a piece of land 183 rods long and 97 rods wide?

32. How many square inches in a yard of carpeting that is 2 ft. 3 in. wide? How many yards of such carpeting will it take to cover a floor 19 ft. 4 in. long and 17 ft. 2 in. wide?

To measure solid bodies, such as timber, wood, &c., it is necessary to use a measure that has three dimensions, length, breadth, and depth, height, or thickness. For this a measure is used in which all these dimensions are alike. Take a block, for example, and make it an inch long, an inch wide, and an inch thick, and all its corners or angles alike; this is called a solid or cubic inch; so a block made in the same way, having each of its dimensions one foot, is called a solid or cubic foot.

33. If a block 1 inch wide and 1 inch thick and 1 inch long contains 1 solid inch, how many solid inches does such a block that is 2 inches long contain? 3 inches long? 4 inches long? 5 inches long? 8 inches long?

34. How many solid inches does a block that is 1 foot long, 1 inch thick, and 1 inch wide contain?

How many

inches does such a block that is 2 inches wide contain? 3 inches wide? 4 inches wide? 5 inches wide? 8 inches wide ?

35. How many solid inches does a block 2 inches long, 2 inches wide, and 1 inch thick contain? 2 inches thick ?

36. How many solid inches does a block 4 inches long, 3 inches wide, and 1 inch thick contain? 2 inches thick? 3 inches thick ?

37. How many cubic inches in a block 10 inches long, 8 inches wide, and 1 inch thick? 2 inches thick ? 3 inches thick 5 inches thick? 7 inches thick?

38. How many cubic inches in a block 18 inches long, 13 inches wide, and 1 inch thick? 5 inches thick? Il inches thick?

In the above examples supply feet instead of inches, and do them over again.

39. What rule can you make for finding the number of solid inches or feet in any regular solid body?

40. How many solid inches in a block 12 inches long, 12 inches wide, and 12 inches thick; that is, in a solid foot?

41. A pile of wood 8 feet long, 4 feet wide, and 4 feet high, or in any other form containing an equal quantity, is called a cord of wood. How many solid feet in a cord? 42. Find the numbers for the following table.

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44. How many solid inches in a ton of hewn timber? 45. In 468,374 solid inches, how many solid feet?

46. How many feet of timber in a stick 28 feet long and 11 inches square?

47. How many tons of timber in 2 sticks, each 25 feet long, 15 inches wide, and 11 inches thick ?

48. A pile of wood 4 feet square and 1 foot lòng, or a pile containing 16 solid feet is called 1 foot of wood. How many such feet in a cord?

49. How many solid feet of wood in a pile 5 feet wide, 3 feet high, and 23 feet long? How many feet of wood?

How many cords?

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A few more examples of this kind will be found in deciinals.

DECIMAL FRACTIONS.

XXV. IN the following numbers, write the fractional part in the form of decimals.

1. Twenty-seven and six tenths, 27%.
2. Fourteen and seven hundredths. 141.

Ans. 27.6.

Ans. 14.07.

3. One hundred twenty-three, and eight thousandths. 123-7000

8

Ans. 123.008.

4. One hundred and eight, and five tenths. 108,5.

5. Seventy-three, and nine hundredths. 73.80.

6. Four, and six thousandths. 41000

7. Sixteen, and one thousandth. 1600.

8. Six tenths. 1

9. Five hundredths. 150

10. Seven thousandths. T

11. Two ten thousandths. Too0.

12. Three, and four tenths and two hundredths. 3 and

18.

13.

ΤΟ

15. 3

16. 8

100

10

are how many hundredths?

thousandths?

14. and are how many hundredths?
TO are how many thousandths ?
are how many thousandths ?
17. and 8 and 10 are how many
18. Write 7,385 in the form of a decimal.
19. are how many ten-thousandths?
20. To are how many ten-thousandths ?
21. 6
Too are how many ten-thousandths?

5
001

1000

22. To, TOO, TO, and Totoo are how many ten-thousandths?

23. Write 2567 in the form of a decimal ?

10000

Write the fractions in the following numbers in the form of decimals.

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29. 17-5730

Change the decimals in the

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35. 807
10000

following numbers to com

mon fractions and reduce them to their lowest terms.

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XXVI. 1. A man purchased a barrel of flour for $7.43.; 5 gallons of molasses for $1.625; 3 gallons of wine for $4.87; 4 gallons of brandy for $7; 7 lbs. of sugar for $0.95; and 3 gallons of vinegar for $0.42. What did the whole amount to?

2. How many bushels of corn in 4 bags, the first containing 2 bushels; the second, 3,28; the third, 34; and the fourth, 487?

Note. Write the fractions in the form of decimals.

3. A man bought four loads of hay, the first containing 17 cwt.; the second, 191 cwt.; the third, 24§ cwt.; and the fourth, 14 cwt. How many cwt. in the whole?

Note. In all the examples under the head of decimals, change the fractions and parts to decimals.

4. A man raised wheat in five fields, in the first, 47, bushels; in the second, 94, in the third, 8711⁄2; in the fourth, 143; and in the fifth 387 bushels, How many

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5. A man bought a load of hay for 6.; a load of oats for 77.; 3 bushels of corn for 27.; and a load of wood for 2. How much did the whole come to?

40

6. Add together the following numbers, 3844; 1386 7006; 97; 406; 8; and 46043.

7. From a piece of cloth con ning 473 yards, a merchant sold 23. How much ren ined unsold?

A man owing $253 paid $187.375, how much did he then owe?

9. A man owing 342,64. paid 187. How much did he then owe?

10. A merchant sold a barrel of flour for 25.; 5 gallons of molasses for 1.; and 6 gallons of wine for 219. In pay he received a load of wood worth 24. and 2 bushels of wheat, worth 13. and the rest in money; how much money did he receive?

11. From 1833£. take 87 £.
12. From $382 take $48.25.
13. From 11532 lb. take 6845lb.
14. From 373 tors take 289 tons.

XXVII.

Multiplication of Decimals.

1. A man bought 5 barrels of pork, at $17.43 per barrel; how much did it come to ?

2. What cost 8 yards of cloth, at $7.875 per yard? 3. How many bushels of meal in 14 sacks, containing 4.37 bushels each ?

4. How much hay in 8 loads, containing 24.35 cwt. each? 5. How much cotton in 17 bales, containing 4 cwt. each f 6. How many cwt. of hay in 14 loads, containing 23.25 cut. each?

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