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and three inches long contain? Four inches long? Five inches long? Seven inches long?

2. In a figure 8 inches long and I inch wide, how many square inches? How many square inches does a figure 8 inches long and 2 inches wide contain? 3 inches wide? 4 inches wide? 5 inches wide? 8 inches wide?

3. If a figure 1 foot wide and 1 foot long contains square foot, how many square feet does a figure 1 foot wide and 2 feet long contain? How many square feet does a figure 1 foot wide and 3 feet long contain? 5 feet long? 9 feet long? 15 feet long?

4. In a figure 9 feet long and 1 foot wide, how many square feet? How many square feet does a figure 9 feet long and 2 feet wide contain? 3 feet wide? 5 feet wide? 7 feet wide? 9 feet wide?

5. How many square inches does a figure 13 inches long and 1 inch wide contain? 2 inches wide? 3 inches wide? 8 inches wide?

6. How many square feet does a figure 16 feet lang and 1 foot wide contain? 2 feet wide? 3 feet wide? 5 feet wide? 8 feet wide? 13 feet wide?

In the above examples supply yards, rods, furlongs, and miles, instead of inches and feet, and perform them again.

7. What rule can you make for finding the number of square inches, feet, yards, &c. in any rectangular figure?

Note. A figure with four sides, which has all its angles alike or right angles, is called a rectangle, and a rectangle is called a square when all the sides are equal.

8. How many square feet in a room 18 feet long and 13 feet wide?

9. How many square feet in a piece of land 143 feet long and 97 feet wide?

10. How many square rods in a piece of land 28 rods long and 7 rods wide?

11. A piece of land that is 20 rods long and 8 rods

wide, or in any other form containing the same surface, is called an acre. How many square rods in an acre ? 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 follow 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 mile?

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 dimeñsions, 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?

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

37. How many cubic inches in a block 18 inches 5 inches long, 13 inches wide, and 1 inch thick? thick? 11 inches thick?

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

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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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43. How many solid inches in a cord?

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 long, or a pile containing 16 solid feet is called 1 foot of wood. How many such feet in a cord?

19. 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?

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

8

Decimal Fractions.

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

1. Twenty-seven and six tenths, 276. Ans. 27.6. 2. Fourteen and seven hundredths. 1470.

8

123+00:

Ans. 14.07. 3. One hundred twenty three, and eight thousandths. Ans. 123.008. 4. One hundred and eight, and five tenths. 108. 5. Seventy-three, and nine hundredths. 73. 6. Four, and six thousandths. 41000.

7. Sixteen, and one thousandth. 161000

6

8. Six tenths. To

9. Five hundredths. 10. Seven thousandths.

11. Two ten-thousandths.

7

2

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

13. are how many hundredths?

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and are how many hundredths?

100

15. are how

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16. 8 are how many thousandths?

100

100

17. and and are how many thou3 TO sandths?

18. Write 7385 in the form of a decimal.

1000

19. are how many ten-thousandths?

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To are how many ten-thousandths? 21. 6 are how many ten-thousandths?

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22. 10, 180, Tooo, and Too are how many tenthousandths?

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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