TABLE OF MEASURES OF CAPACITY

The standard unit of capacity is the liter (leeter). It is equal to 1 cu. decimeter, and equivalent to .908 dry quarts.

TABLE OF MEASURES Of Weight

The standard unit of weight is the gram, which is the weight of 1 cu. centimeter of distilled water at its temperature of greatest density (39.1° F.).

§78. Metric and U. S. Equivalents.

The equivalents will be of assistance in changing the metric to the common system of measures.

PROBLEMS WITH THE METRIC UNITS

1. Take a smooth lath, or plane one, lay a straight strip of paper beside the lower edge of the metric rule, Fig. 1, p. 112, and with a sharp pencil transfer the graduations from the rule to the strip of paper, and then from the strip of paper to the lath. Continue the centimeter graduation marks along your lath until you get a meter stick (= 100 centimeters). How does this meter stick compare in length with a yard stick?

2. Explain which digit in 6.8752 m. stands for m.; which for dm.; which for cm., and which for millimeters.

3. Find by measurement the length and the width of your schoolroom in meters, and write the result of your measurements in meters and decimals of a meter.

4. How many centimeters long, wide, and thick is your arithmetic?

5. Express the length of your pencil in centimeters. 6. A sidewalk is 2112 m. long; how many kilometers long is it?

7. What is the cost of 158 cm. of ribbon at $.45 a meter? 8. How many steel rods, each 16 cm. long, can be cut from a rod 7.68 m. long?

9. From a piece of wire, 98.52 m. long, a piece .047 Km. was cut. How long was the remainder?

10. A bicycle track is .807 Km. long. How many meters would one go in riding around the track 5 times? 11. Express 1 Km2. in square dekameters; in square meters.

12. Find the number of square meters in the surface of your schoolroom floor. Express the same in square dekameters.

13. Express the area of your desk in square decimeters; in square inches. How do the two compare?

14. Using the decimeter as a measure, find the number of square centimeters in the surface of your geography. 15. Express the same in square decimeters; in square inches.

16. Find the area of the door in square meters. What part of an are is this area?

17. A certain plot of ground contains 20 m3. How many square feet in the plot?

18. Lay off a square meter upon the floor. Within this area, lay off a square yard. Note results.

19. With the aid of your decimeter measure, draw a square decimeter. In the corner, draw a square centimeter. How many square centimeters could be drawn within the square decimeter?

20. What is the area of a floor 8.4 m. by 5 meters? 21. A lot is 7.64 m. by .033 Km. Find the area?

22. What is the value of a piece of land 8 Dm. long and 6.5 Dm. wide, at $32 an are?

23. How many ares in a street 1.5 Dm. wide and 2.48 Km. long?

24. How many square meters in a floor 700 cm, long and 500 cm. wide?

25. A man had 3 pieces of land as follows: 8.4 Ha.; 3846 m2., and 2.5 Km2. How many hektares of land are there in all?

26. 20 liters equal how many centiliters? How many Dl.? What part of a Kl.? Find the difference between 12 1. and 12 dry quarts.

27. Using your decimeter measure as a basis, model a cubic decimeter or liter.

28. Using your square centimeter as a basis, model a cubic centimeter. What is the relation of a cubic centimeter to a gram? How many cubic centimeters in a liter? 29. How many cubic meters are there in the volume of your schoolroom?

30. What is the difference between an ordinary ton and a metric ton (tonneau)?

31. A gram is the weight of 1 cm3. of distilled water. What is the weight in grams of 1 1. of distilled water?

32. A liter of water weighs nearly 2 lb. What is the weight of 6 1. of water in pounds? In grams?

33. A package of silver weighs 2.58 grams. What is its weight in grains?

34. How many pounds in 1 Q.? In 5 quintals?

35. How many 2 gr. capsules will 5 g. of quinine fill? 36. Find the cost of the quinine at 10¢ a doz. capsules? 37. What is the cost of 5500 Kg. of coal at $6.50 per ton? 38. What is the cost of 2 Q. of sugar at $.08 a kilogram? 39. If a book weighs 3.2 Dg., how many such books will weigh 1.792 kilograms?

40. A box contains 2500 packages of quinine, each package weighing 1.25 g. How many hektograms does the contents of the box weigh?

41. A vessel, 18 cm. long, 14 cm. wide, and 22 cm. high, is filled with lead, which weighs 11.35 times as much as water. What is the weight of the lead? (1 cu. ft. of water weighs 62.5 lb.)

PERCENTAGE AND INTEREST

$79. Percentage.

Solve all you can orally.

PERCENT AS HOW MANY IN 100

In a city block there are 100 buildings. 50 of them are stores; 40 are dwelling houses; 5 are warehouses; 3 are hotels, and 2 are banks. 10 of them are built of brick; 30 are stone, and 60 are frame houses; 35 of them are 3 stories high; 25 are two stories, and the rest are one story high.

1. What part of the buildings are stores? How many hundredths of the buildings are stores?

NOTE: "How many percent?" "What percent?" means "How many in a hundred?" or "How many hundredths?"

2. How many percent of the buildings in the block are stores?

3. equals how many percent?

4. What part of the buildings are 2 stories high? What percent of them are 2 stories high?

5. What percent are warehouses? Hotels? Banks? Dwellings?

6. What percent are brick? Stone? Frame?

7. What percent are 3-story buildings? 1-story buildings?

8. What part of the buildings are warehouses? 2 equals how many percent?

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