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3 Barleycorns

4 Inches

6 Feet

3 Feet

5 Paces

8 Furlongs

1.15 Statute Miles

1 Inch. Used by shoemakers.

1 Hand. Used to measure the height of horses. =1 Fathom. Used to measure depths at sea. 1 Pace.)

=

=

=

·1

Rod.

1 Mile.

Used in pacing distances.

=1 Geographical, or Nautical Mile.

3 Geographical Miles=1 League.

60 Geographic Miles)

69.16 Statute Miles

1 Degree of Latitude on a Meridian, or
of Longitude on the Equator.

1. For the purpose of measuring cloth and other goods sold by the yard, the yard is divided into halves, fourths, eighths, and sixteenths. 2. The length of a degree of latitude varies. 69.16 is the average length, and is that adopted by the United States Coast Survey.

1. How many inches are there in 4 feet? 6 feet? 8 feet? 10 feet? 12 feet?

2. How many feet are there in 2 rods? 3 rods? 4 rods? 3. How many inches are there in 2 yards? 4 yards? 5 yards?

4. How many inches are there in 2 yards and 2 inches? 3 yards and 4 inches?

5. How many rods are there in 2 miles? 3 miles?

6. How many feet are there in 1 rod and 2 yards? 2 rods and 3 yards?

7. How many feet are there in 45 inches? In 63 inches? 8. How many yards are in 22 feet? In 47 feet? In 34 feet?

9. How many miles in 640 rods? In 480 rods? 10. How many inches in 10 links? In 100 links?

11. How many links in 5 rods? In 3 rods? In 6 rods? 12. The length of a road was 400 links. What was its length in rods?

13. In 160 chains how many miles?

WRITTEN EXERCISES.

14. Reduce 5 mi. 18 rd. 4 yd. to yards.

15. Reduce 7 rd. 5 ft. 6 in. to inches.

16. How many inches are there in 7 miles? In 9 miles? 17. A building was 327 ft. long. How many rods was i in length?

18. A man sold a piece of wire 36828 in. long. How many rods was it in length?

19. In 3960 rods how many miles are there?

20. Reduce 15 mi. 8 rd. 5 yd. 3 ft. 4 in. to inches.

21. Reduce 8 mi. 14 rd. 5 ft. 4 in. to inches.

22. Reduce 66454 inches to miles, etc.

23. Reduce 158964 inches to miles, etc.

24. The diameter of the earth is 7912 miles. How many feet is it?

25. How high is a horse that measures 15 hands? 26. My farm is 67 ch. 83 1. long.

is it?

27. Reduce 59 ch. 75 1. to inches.

How many rods long

SURFACE MEASURES.

255. An Angle is the difference in the direction of two lines that meet.

256. A Square is a figure that has four equal sides, and four equal angles.

A

square inch is a square whose side is one inch. A square foot, a square whose side is one foot.

The angles of a square are called right angles.

257. A Rectangle is a figure that has four straight sides and four equal angles.

The angles of a rectangle are all right angles, 258. The Area or extent of any surface is the number of square units it contains.

Thus, if a rectangle is 4 inches long and 3 inches wide the area will be 12 square inches.

For it may be divided into 4 rows, each containing 3 square inches or units, and the entire area will be 12 square inches.

The method of computing the area of figures that are not rectangular is given in MENSURATION.

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259. The area of a rectangle is equal to the product of the numbers that express its length and breadth.

The length and breadth must be expressed in units of the same denomination.

1. How many square inches are there in a rectangle 6 inches long and 5 inches wide? 8 inches long and 3 inches wide? 7 inches long and 5 inches wide?

2. How many square feet are there in a rectangle 4 feet long and 3 feet wide? 7 feet long and 5 feet wide?

3. How many square inches are there in a square whose side is 2 inches? 5 inches? 8 inches? 12 inches?

4. How many square yards are there in a square whose side is 2 yards? 5 yards? 7 yards? 10 yards?

5. How many square feet are there in a square whose side is 1 yard long? 3 yards? 5 yards? 7 yards? 10 yards? 6. How many square rods are there in a lot 5 rods long and 4 rods broad? In a square whose side is 6 rods?

7. How many square feet in a square whose side is 3 yards? In a rectangle whose length is 4 yards and breadth 3 yards? 8. How many square inches are there in a square foot? Square feet in a square yard? Square yards in a square rod?

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1. Plastering, ceiling, etc., are commonly estimated by the square yard; paving, glazing, and stone-cutting, by the square foot.

2. Roofing, flooring and slating are commonly estimated by the square of 100 feet.

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In some parts of the country a Township contains 36 square miles, or is 6 miles square.

1. How many square feet are there in 4 square yards? 7 square yards? 9 square yards?

2. How many square inches are there in 2 square feet? 3 square feet? 5 square feet?

3. How many square yards are there in 27 square feet? 36 square feet? 81 square feet?

64

4. How many square yards are there in 10 square rods? 5. How many square chains are there in 48 square rods? square rods? 96 square rods?

6. How many square rods are there in 3 acres? In 5 acres?

50?

7. How many acres are there in 480 square rods?

8. How many square feet are there in 288 square inches? 9. How many acres are there in 30 square chains? In

[blocks in formation]

10. Reduce 9 sq. yd. 3 sq. ft. 15 sq. in. to square inches.
11. Reduce 3 sq.
mi. 15 sq. rd. to square inches.
12. Reduce 262685 sq. ft. to acres, etc.

13. Reduce 2 A. 37 sq. rd. 5 sq. yd. 7 sq. ft. to sq. in.
14. Reduce 184265 sq. in. to units of higher denominations.

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