amount of surface included within its bounding lines. The area is measured by some square unit.

The principal surface measure units are the square inch, square foot, square yard, square rod, square link, square chain, and acre.

2. Describe each of the above surface measure units. 3. How many square inches equal 1⁄2 sq. ft.?

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4. What is the difference between 3 sq. ft. and 3 ft. sq.? 5. 100 sq. in. equal what part of a square foot ? 6. 120 sq. rd. equal what part of an acre?

7. 50% of an acre equal how many square rods?

8. What is the relation of 40 sq. rd. to A.?

9. What part of an acre is a piece of land 8 rd. long and 4 rd. wide?

10. How many rods are there in a chain?

11. A square chain equals what part of an acre?

12. Reduce 18 sq. yd. 4 sq. ft. 27 sq. in. to square inches.

13. Reduce 8 A. 150 sq. rd. 27 sq. yd. to square feet. 14. Reduce 129,600 sq. in. to square yards.

15. From 5 A. 84 sq. rd. 12 sq. yd. 4 sq. ft. 68 sq. in. take 3 A. 95 sq. rd. 28 sq. yd. 6 sq. ft. 95 sq. in.

16. Divide 66 sq. yd. 6 sq. ft. 24 sq. in. by 8.

17. Change to square inches: 4 sq. ft.; .04 sq. ft.; 4.31 sq. ft.

18. Change to square feet: 108 sq. in.; 111% of 10 sq. yd.

19. Reduce sq. mi. to integers of lower denominations.

LESSON 18

1. Change to square yards: 3.1 sq. rd.; 432 sq. in.; .9 sq. ft.; 2.5 A.; 39 sq. ft.

2. How many square rods are there in 37% of a piece of land containing 5 A.?

3. What part of an acre is 60 sq. rd.? 242 sq. yd.? 4. What part of an acre is a piece of land 33 ft. by 132 ft.?

5. Find the number of acres in a rectangular piece of land 132 yd. by 38 yd.

6. Find the cost of 2 A. of land if of a square rod costs 15%.

7. What is the perimeter of a 5-rod square?

8. At $871 an acre, find the cost of a square field 200 yd. long.

9. How many acres are there in 212,582 sq. ft.?

10. Change A. to lower denominations.

11. Change .225 A. to lower denominations.

12. A rectangular piece of land 32 ch. long and 16 ch. wide contains how many acres?

13. How many rods are there around a four-sided field whose sides measure 35 ch. 20 li., 16 ch. 18 li., 33 ch. 12 li., 18 ch. 9 li., respectively?

14. Change ch. to rods, feet, and inches.

15. For what is square or surface measure used? 16. Recite the table of square measure.

17. Recite the table of surveyors' linear measure. veyors' square measure.

Sur

18. How many acres are there in 25 sq. ch.?

19. Describe a township. A square mile is what part of a township?

20. What part of 9 chains square is 27 square chains? 21. How many breadths of carpet & yd. wide are needed for 15 ft. of floor space?

22. I have a piece of land in the shape of a rectangle that contains 1 A. It is 10 rd. wide. How long is it?

LESSON 19

1. What is a solid? A rectangular solid? A cube? 2. Describe a cord of wood. A perch of stone or

masonry.

The Capacity or volume of a solid is the space included within the bounding surfaces of the solid, and is measured by finding how many standard cubic units it contains.

The principal cubic measure units are the cubic inch, cubic foot, and cubic yard.

3. Describe each of the above cubic measure units. In what respect are they alike? Wherein do they differ? Imagine a piece of board 5 in. long and 4 in. wide.

4. How many cubic inches does it contain if it is 1 in. thick?

5. How many cubic inches does it contain if it is 2 in. thick ?

6. How many cubic inches does it contain if it is 3 in. thick?

7. How many cubic inches does it contain if it is in. thick?

8. How do you find the volume of a solid when the length, breadth, and depth, or thickness, are given ?

9. Find the volume of the rectangular solid whose dimensions are 6 ft. by 5 ft. by 3 ft.

10. How many cubic inches are there in 18 cu. yd. 13 cu. ft.?

11. Reduce 846,979 cu. in. to cubic yards.

12. Divide 193 cu. yd. 26 cu. ft. 329 cu. in. by 11. 13. Change to cubic inches: .04 cu. ft.; .66% of 1 cu. ft.; 331% of 100 cu. ft.

14. Change to cubic feet: 7776 cu. in.; 432 cu. in.; 2.5 cd.; of a perch; cu. yd.

15. Change to cubic yards: cd.; 2.5 perches; 201 cu. ft.

16. What is the difference between a 4-inch cube and 4 cubic inches?

LESSON 20

1. What is the unit of measure in liquid measure? In dry measure? State the capacity in cubic inches of each of the above units of measure.

A gallon of water weighs 8.33 lb.

The quart, liquid measure, equals 57 cu. in.

A cubic foot of water weighs 621 lb.

2. What is the weight of a 10-gallon can of water? Of 10 cu. ft. of water?

3. The capacity of 7 gal. equals 1 cu. ft. What is the capacity of 15 gal.? 221 gal.? 30 gal.? 521 gal.?

4. The quart, dry measure, contains 67.2 cu. in. How many cubic inches in a pint? In 2 quarts?

5. 4 bushels of grain occupy about 5 cu. ft. of space. How much space will 8 bu. occupy? 12 bu.? 16 bu.?

6. How many bushels will 10 cu. ft. of space contain? 30 cu. ft.? 60 cu. ft.? 45 cu. ft.?

7. Change 120 cu. ft. to gallons. 120 gal. to cubic feet.

8. Change 120 cu. ft. to bushels. 120 bu. to cubic feet.

9. Change 20 cu. ft. of water to pounds. 10. Change a quart (dry) to cubic inches.

11. Change a quart (liquid) to cubic inches.

12. 20 quarts dry measure equal how many quarts liquid measure?

13. How many gills are there in 371% of a gallon? In .01 gal.? In 2 qt. 1 pt. 2 gi.? In .121 of a quart?

14. Reduce to pints: .31 qt.;

61% of 2 gal.

.31 pt.; 16 gi.; 1.6 gi.;

15. Change to quarts: 2.5 pt.; 4.5 gal.; § gal.

16. Divide 37 bu. 1 pk. 2 qt. 1 pt. by 9.

17. How many pint bottles will be required to hold a barrel of cider?

18. Find the cost of of a gallon of cider at 6¢ a pint.

LESSON 21

1. A farmer feeds each of his 4 horses 10 qt. of oats daily. How long will 456 bu. 1 pk. last them?

2. A farmer raised 321 bu. of wheat. He kept 64 bu. 1 pk. 3 qt. for seed and 36.375 bu. for family use. He sold the remainder at 96 a bushel. How much did he receive for what he sold?

3. Find the cost of 3.75 pecks of beans at 871 a bushel.