10. How many square yards in a ceiling 8 yards long and 6 yards wide?

11. How many square feet in a board 16 feet long and 1 feet wide?

12. How many perches in a field 30 rods long and 10 rods wide? How many roods?

13. How many square inches in a piece of tin 15 inches long and 4 inches wide?

14. How many square yards in a floor 15 feet long and 12 feet wide?

WRITTEN EXERCISES.

15. How many square yards in 16 perches? How many square inches?

16. How many perches in 5 A. 2 R.?

17. Reduce 1 A. 2 R. 20 P. 10 sq. yd. 7 sq. ft. to square feet.

18. Reduce 70882 sq. ft. to higher denominations. 19. Reduce 5280 perches to higher denominations. 20. Reduce 5184 square inches to square yards. 21. How many acres in a field 56 rods long and 40 rods wide?

22. How many acres in a street 24 miles long and 4 rods wide?

23. How many square yards in a ceiling 72 feet long and 40 feet wide?

24. What will it cost to pave a walk 60 feet long and 15 feet wide, at $1.25 a square yard?

25. How many trees can be planted on 3 acres of ground, if a tree be planted on each square rod?

26. If 1000 shingles will cover 100 square feet, how many shingles will cover a roof 40 feet long and 25 feet wide?

27. How many acres of land in a township 5 miles. square?

28. How many acres in a township 7 miles long and 6 miles wide?

29. How many yards of carpeting, a yard wide, will carpet a room 20 feet long and 18 feet wide? 30. How many bricks, 8 in. long and 4 in. wide, will pave a walk 60 feet long and 12 feet wide?

31. What will it cost to plaster the walls and ceiling of a room 15 feet long, 12 feet wide, and 9 feet high, at 50 cents a square yard?

Art. 113. Cubic Measure is used in measuring solids. It is also called Solid Measure.

The denominations are cubic inches, cubic feet, and cubic yards.

Art. 114. A cubic inch is a cube whose edges are each one inch long. A cubic yard is a cube whose edges are each one yard long.

NOTE. The teacher should explain and define a cube; also its faces and edges.

Table.

1728 cubic inches (cu. in.) are 1 cubic foot

NOTE.-A cubic yard of earth is called a load, and 24 cubic feet of stone or of masonry make a perch.

WRITTEN EXERCISES.

1. How many cubic inches in 5 cubic feet? In 12 cubic feet? 32 cubic feet?

2. How many cubic feet in 15552 cubic inches?

3. How many cubic feet in 120 cubic yards?

4. How many cubic yards in 405 cubic feet?

5. Reduce 15 cu. yd. 16 cu. ft. and 1305 cu. in. to cubic inches.

6. Reduce 1473462 cubic inches to higher denominations.

7. How many cubic feet in a block of marble 15 feet long, 12 feet wide, and 5 feet thick?

PROCESS.

15 cu. ft.
12

180 cu. ft.
5

900 cu. ft.

A block 15 ft. long, 1 ft. wide, and 1 ft. thick contains 15 cu. ft.; a block 15 ft. long, 12 ft. wide, and 1 ft. thick contains 12 times 15 cu. ft., or 180 cu. ft. A block 15 ft. long, 12 ft. wide, and 5 ft. thick contains 5 times 180 cu. ft., or 900 cu. ft.

8. How many cubic feet in a rock 18 feet long. 13 feet wide, and 8 feet high?

9. How many cubic feet in a pile of wood 24 feet long, 3 feet wide, and 8 feet high?

10. How many cubic yards in a bin 9 feet long, 6 feet wide, and 43 feet deep?

11. How many cubic feet of earth must be re

moved to make a cellar 44 feet long, 27 feet wide, and 5 feet deep? How many cubic yards?

/12. How many cubic yards of earth must be removed to make a reservoir 120 feet long, 54 feet wide, and 9 feet deep below the surface?

13. What will it cost to dig a cellar 36 feet long, 18 feet wide, and 6 feet deep, at $2.50 a cubic yard?

Art. 115. Wood Measure is used in measuring wood and rough stone.

The denominations are cubic feet, cord feet, and cords.

NOTE.-A pile of wood 8 feet long, 4 feet wide, and 4 feet high, contains 1 cord; and 1 foot in length of such a pile contains 1 cord foot. See cut on page 159. Wood four feet, or nearly four feet, in length, is measured by multiplying the length of the pile by the height and dividing the product by 32.

WRITTEN EXERCISES.

1. How many cord feet in a pile of wood 4 feet long, 4 feet wide, and 5 feet high?

2. How many cubic feet in 6 cord feet?

3. How many cord feet in 51⁄2 cords of wood?

4. How many cords of wood in 128 cord feet?

5. How many cords of wood in a pile containing 1536 cubic feet?

6. How many cords of wood in a pile 20 feet long, 4 feet wide, and 6 feet high?

7. How many cords of wood in a pile 48 feet long, 21 feet wide, and 5 feet high?

8. A man bought a pile of wood 36 feet long, 4 feet wide, and 8 feet high, and paid $5.50 a cord. What did the wood cost him?

9. How many cords of stone in a wall 40 rods long, 2 feet thick, and 4 feet high?

10. At $4.50 a cord, what is the value of a pile of wood 40 feet long, 3 feet wide, and 6 feet high?

LESSON VII.

CIRCULAR MEASURE.

Art. 116. Circular Measure is used in measuring arcs of circles, and angles, and in estimating latitude and longitude. It is also called Angular Measure.

The denominations are seconds, minutes, degrees, signs, and circumferences.