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133. A Rectangular Prism is a solid bounded by six rectangles.

134. A Cube is a rectangular prism bounded by

squares.

Cube.

Prism.

135. To find the volume of a rectangular prism.

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The rectangle ABCD M contains (5 x 3) square K inches (Art. 128). If parallel to the base A B C Da plane is passed through the

A

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point K, one inch from A, it will evidently cut off

15 cubic inches, that is, (5 × 3 × 1) cubic inches. If, in like manner, a plane passes through M, it will cut off 15 more; and so on. That is, the rectangular prism contains (5 × 3 × 4) cubic inches = 60 cubic inches. Therefore,

The volume of a rectangular prism is equal to the product of its three dimensions.

136. The volume of a rectangular prism divided by the area of its base will give the altitude; the volume divided by the area of one end will give the length; and the volume divided by the area of one side will give the breadth or width.

137. ORAL EXERCISES.

24. How many cubic feet in a third of a cubic yard?

25. How many cubic feet in a cube whose edge is 3 feet?

26. How many cord feet in half a cord?

27. How many cubic feet in a rectangular cistern 8 feet long, 3 feet deep, and 2 feet wide?

28. What part of a cord is 1 cord foot? 2 cord feet? 3? 5? 6?

29. How many cubic feet in 2 cord feet and 5 cubic feet?

30. What will 6 cord feet of wood cost at $8 a cord?

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140. ORAL EXERCISES.

31. How many gills in 3 quarts? 32. How many quarts in a bushel ? 33. How many pints in a gallon?

34. At 6 cents a quart, what ought to be paid for 4 qt. 1 pt. of milk?

35. How many pecks are there in 5 bushels? 36. How many gallons are there in 42 quarts? 37. How many quarts are there in & of a bushel?

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142. ORAL EXERCISES.

38. How many pounds in 32 ounces? 39. How many ounces in 3 pounds? 40. How many pounds in 5 tons?

41. At 12 cents a pound what ought to be paid for 4 pounds and 4 ounces of nuts?

42. What part of a pound is 2 ounces? 8 ounces? 12 ounces?

43. What part of a ton is 500 pounds? 1000 pounds? 1500 pounds?

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The names of the months, called calendar months, and the number of days in each are:

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NOTE 1. The number of days in each month may be easily re membered by committing the following lines:

"Thirty days hath September,

April, June, and November;
All the rest have thirty-one,
Except the second month alone,
Which has but twenty-eight, in fine,
Till leap year gives it twenty-nine."

144. According to the Gregorian Calendar, by which we reckon time, there is a leap year whenever the number representing the year (A. D.) is divisible by 4 and not by 100, and also when it is divisible by 400. Thus, 1892 was a leap year, 1894 not, 1600 was a leap year, 1700 and 1800 not.

145. ORAL EXERCISES.

44. How many days in 3 weeks? In 4 weeks? 45. How many hours in 2 days? In 3 days? 46. How many minutes in 4 hours? In 5 hours? 47. How many weeks in 35 days? In 56 days? 48. Was 1880 a leap year? 1881? 1882? 1894? 49. How many days were there in Feb. 1896 ? 50. How many days are there in June, July, and August?

51. How many hours are there from March 31, 9 P. M., to April 1, 8 A. M. ?

52. How many days are there from Aug. 16 to Sept. 5?

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140. ORAL EXERCISES.

31. How many gills in 3 quarts? 32. How many quarts in a bushel? 33. How many pints in a gallon?

34. At 6 cents a quart, what ought to be paid for 4 qt. 1 pt. of milk?

35. How many pecks are there in 5 bushels?

36. How many gallons are there in 42 quarts? 37. How many quarts are there in & of a bushel?

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142. ORAL EXERCISES.

38. How many pounds in 32 ounces? 39. How many ounces in 3 pounds? 40. How many pounds in 5 tons?

41. At 12 cents a pound what ought to be paid for 4 pounds and 4 ounces of nuts?

42. What part of a pound is 2 ounces? 8 ounces? 12 ounces?

43. What part of a ton is 500 pounds? 1000 pounds? 1500 pounds?

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