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EXERCISES (Oral).

239. 1. How many sq. chains are there in 3 A.? In 5 A.? In A.? In 32 sq. rd.? In 80 sq. rd.? In 50 sq. rd.? 2. How many sq. rods in 2 A.? In 10 A.? In A.?

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5. How many sq. rd. in 5 sq. ch.? In 7 sq. ch.? In sq.

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7. How many sq. mi. in 2 Tp.? In Tp.? In 320 A.?

In 160 A.? In 40 A.?

8. What part of an acre is 1 sq. ch.? ch.? 100 sq. rd.?

EXERCISES (Written).

240. Reduce to square yards :

1. 2 A. 40 sq. rd.
3. 8 A. 10 sq. yd.

1 sq. rd.? 8 sq.

2. 6 A. 60 sq. rd. 24 sq. yd.
4. 1 sq. mi. 100 A. 16 sq. rd.

Reduce to square feet:
5. 9 sq. yd. 15 sq. ft.
7. 12 sq. rd. 18 sq. ft.
9. Reduce 6 sq. yd. 4 sq. ft. 10 sq. in. to square inches.
10. Reduce 2 sq. mi. 120 A. 9 sq. ch. to square chains.

6. 8 sq. rd. 4 sq. yd. 6 sq. ft.
8. 3 A. 80 sq. rd. 10 sq. yd.

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30. Reduce sq. in. to sq. yards.

31. Reduce 8 sq. ch. 4 sq. rd. to the decimal of an acre. 32. Reduce 1 sq. ft. 18 sq. in. to the decimal of a sq. yd.

241. A solid is an extension which has length, breadth, and thickness; as a box, a room, or a book.

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solids are measured are called cubic units. They are cord (cd.), cubic yard (cu. yd.), cubic foot (cu. ft.), and cubic inch (cu. in.).

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A pile of wood 8 feet long, 4 feet wide, and 4 feet high is a cord. One foot in length of this pile, or 16 cu. ft., is a cord foot.

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EXERCISES (Oral).

245. 1. How many cu. ft. in 2 cu. yd.? In 5 cu. yd.? In cu. yd.? In & cu. yd.?

2. How many cu. yd. in 81 cu. ft.? In 9 cu. ft. ? 45 cu. ft.? 3. What part of cu. yd. is a cu. ft.? Of cu. ft. is a cu. in.? 4. What part of a cd. is 64 cu. ft.? 32 cu. ft.? 80 cu. ft.?

EXERCISES (Written).

246. Reduce to cubic inches:

1. 12 cu. ft. 100 cu. in. 3. 40 cu. ft. 124 cu. in. 5. 25 cu. yd. 860 cu. in.

2. 3 cu. yd. 20 cu. ft. 90 cu. in. 4. 5 cu. yd. 8 cu. ft. 135 cu. in. 6. 100 cd. 24 cu. ft. 745 cu. in.

Reduce to units of higher denominations:

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17. Reduce cu. ft. to a fraction of a cu. yard.

18. Reduce cu. in. to a fraction of a cu. foot.

19. Reduce 1 cu. ft. 459 cu. in. to the decimal of a cu. yard.

20. Reduce 92 cu. ft. 138.24 cu. in. to the decimal of a cord.

Units of Capacity.

247. Capacity signifies extent of room or capability of holding.

Units of capacity are of two kinds : units of liquids and units of dry substances.

248. Liquid units are used for measuring all kinds of liquids. They are gallon (gal.), quart (qt.), pint (pt.), and gill (gi.).

Relation of the Units.

4 gills

= 1 pint,

In measuring cisterns, etc.:

2 pt.

= 1 quart,

4 qt. = 1 gallon.

31 gal. 1 barrel (bar. or bbl.). 63 gal. = 1 hogshead (hhd.).

A gallon contains 231 cubic inches. The barrel and hogshead are not fixed quantities, but vary when used for commercial purposes.

EXERCISES (Oral).

249. 1. How many gills in 2 pt.? In 5 pt.? In 1 qt.? In 3 qt.? In 1 gal.? In 4 gal.? Ingal.? In 3 gal.? In

qt.?

2. How many pints in 12 gills? In 20 gi.? In 3 qt.? In 7 qt.? In qt.? In 3 gal.? Ingal.? In 2 gi.?

3. How many quarts in 4 pt.? In 20 pt.? In 2 gal.? In 10 gal.? Ingal.? In 32 gi.? In 12 gi.?

4. How many gallons in 64 gi.? In 20 qt.? In 30 pt.? In 2 bbl.? In hhd.? In hhd.?

What part:

5. Of 1 pt. is 1 gi? 6. Of 1 qt. is 1 pt.? 7. Of 1 gal. is 1 qt.? gal.?

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250. Apothecaries' fluid units are used for measuring all liquids that enter into the composition of medical prescriptions. They are gallon (cong.), pint (O), fluid ounce (f3), fluid drachm (f3), and minim (TM).

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251. Dry units are used for measuring quantities that are not liquid; such as grain, potatoes, etc.

The units are bushel (bu.), peck (pk.), quart (qt.), and pint (pt.).

Relation of the Units.

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252..1. How many pints in 3 qt.? In 5 qt.?

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In 4 pk.? In pk.? In pk.? 2. How many quarts in 8 pt.?

In 1 bu.?

In 1 pk. 2 qt.?

In 20 pt.?

In 11 pt.? In

pk.?

In 3 pk.?

In 2 bu.? In

In 36 qt.? In 16 pt.? In

2 pk.? In 7 pk.? In bu.?

3. How many pecks in 16 qt.?

48 pt.? In 2 bu.? In 5 bu.? In 2 bu. 3 pk.?

4. How many bushels in 16 pk.? In 40 pk.? In 2 pk.? In 32 qt.? In 30 pk.? In 128 pt.?

EXERCISES (Written).

253. Reduce to gills, and also to the decimal of a gallon:

1. 3 qt. 1 pt. 3 gi.

2. 1 qt. 1 pt. 1 gi.

3. 2 qt. 1 pt. 1 gi.

4. 3 qt. 1 pt. 2 gi.

Reduce to pints, and also to the decimal of a bushel :

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15. How many gallons in 15 gal. 3 qt. 1 pt.?
16. How many bushels in 24 bu. 2 pk. 5 qt.?

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