PROBLEMS.

1. How many inches in 3 quarters? In 4 8ths? In 3 yards?

2. How many eighths in 5 quarters? In 3 yards? In 4 quarters ?

3. How many quarters in 5 yards? In 6 yards? In 3 yards?

4. How many eighths in 12 16ths? In 16 quarters? In 5 qr.?

5. What will 3 sixteenths of cloth cost at 36 cents a qr.?

6. What is the cost of 3 eighths of ribbon at 40 cents a yard? At 60 cents? At 16 cents? At 8

cents?

7. How many quarters in 2 yd. 2 qr.? In 3 yd. 2 qr. 3 8ths? In 5 yd.?

8. At 5 cents a quarter, what will 3 yd. 2 qr. of braid cost? At 9 cents? At 11 cents?

LESSON XXXV.

27. Square Measure is used to calculate areas, as of land, lumber, painting, paving, &c.

(a.) A square is a figure having four equal sides and four right angles or corners; a square foot is a square 1 foot in length and 1 foot in breadth, thus:

1 ft.

1 sq. ft.

FORM.-Since in one row there are 3 square feet, in 3 rows there are 3 times 3 square feet, which is 9 square feet; hence in 1 sq. yd. there are 9 sq. ft.

(a) TABLE.

144 square inches (sq. in.) make 1 square foot, sq. ft.

1. How many square feet in 5 square yards? In 7-square yards? In 11 sq. yd.? In 15 sq. yards?

* A rood then is a quarter of an acre.

1 yard=3 feet.

2. How many square yards in 36 sq. feet? In 108 sq. ft. In 162 sq. ft.?

3. How many rods in 3 roods? In 2 quarters of an acre? In 3 quarters of an acre? In 2 acres? In 8 acres?

4. How many acres in 320 sq. rods? In 80 sq. rods? In 11 roods? In 800 rds.?

5. If one acre or 4 roods of land costs $28, what will 1 rood cost? 2 roods? 17 roods? 3 roods?

LESSON XXXVI.

28. Cubic Measure is used in estimating the contents of solids; as wood, stone, the capacity of cisterns, &c.

(a). A cube is a solid, having six equal square sides. Thus, a cubic foot is a body 1 foot in length, 1 foot in breadth, and 1 foot in thickness.

TABLE.

1728 cubic inches (cu. in.) make 1 cubic foot, cu. ft.

1 cubic yard, cu. yd.

1 perch of Pch.

stone,

1 cord foot. c. ft.

1 cord of wood, C.

(b.) ANAL. STEPS.-1. Find the number of rows of cu. ft. in 1 cu. yd.

FORM.-Since there are 3 rows of cubic feet in 1 tier of feet, in 3 tiers there are 3 times 3 rows, which is 9 rows.

2. Find the number of cubic feet in 1 cu. yard. FORM. Since in 1 row there are 3 cubic feet, in 9 row08 there are 9 times 3 cubic feet, which is 27 cubic feet.

CONCL. Therefore, in one cubic yard there are 27 cubic feet. Hence to find the solid contents of a body we have the following

(c.) Rule.-Multiply the LENGTH by the BREADTH, and that product by the THICKNESS.

(d.) A pile of wood 4 feet wide, and 4 feet high

and 8 feet long contains 1 cord: and a cord foot is 1 foot in length of such a pile, thus:

PROBLEMS.

1. How many cubic feet in 2 cubic yards? In 4 cu. yds. In 1728 cu. in.? 3456 cu. in.?

2. How many quarter cubic ft. in a perch of stone? In 2 perch of stone?

3. How many perch of stone in 99 qr. cu. ft.? In 198 qr. cu. ft.?

4. How many cubic feet in a pile of wood 7 feet long 2 feet wide and 3 feet high?

5. How many cords and feet in a pile of wood 13 feet long 3 feet high and 4 feet wide?

6. How many cords in 24 cord feet? In 56 ford feet? In 75 cord feet? In 150 cubic feet?

LESSON XXXVII.

29. Liquid or Wine Measure is used for measuring all kinds of liquids.