75. Extension has one or more of the dimensions, length, breadth, and thickness. It may be a line, a surface, Dr a solid.

76. A Line has only one dimension-length.

7. Linear Measure, called also Long Measure, is used in measuring lines, or distances.

In measuring goods sold by the yard, the yard is divided into

halves, fourths, and eighths.

4 Inches

OTHER DENOMINATIONS.

= 1 Hand, Used to measure height of horses.

depth at sea. distances"

360 Degrees

The Circumference of the Earth.

1. The units of linear measure are lines.

2. This line

T

is one inch long.

3. The inch is divided into halves, fourths, eighths, etc. 4. Make a line twice as long; three times as long.

5. How many inches long is this line?

6. How many inches in a line 1 foot long? In 1 ft. 6 in. ? In 2 ft.? In 2 ft. 8 in.?

7. How many ft. in 1 yd.? How many inches?

8. How many feet in 3 yd. 2 ft.? In 54 yd.? In 2 fathoms ?

78. Surface or Square Measure is used in measuring surfaces; as of land, boards, plastering, etc.

3. A man owns one-half of the N. W. quarter-section. How much land has he?

4. In 2 square yards how many square feet?

5. How many square rods in 40 acres and 40 square

rods? In 25 acres?

6. How many square inches in 75 square feet?

7. How many acres in a township?

8. How many square rods in 7 acres?

9. What part of an acre is 40 sq. rd.? 80 sq. rd.?

10. What part of a section is 80 A.? 160 A.? 320 A.!

79. A Surface has two dimensions-length and breadth.

80. A Rectangle is a plane figure bounded by four sides, having all its angles right angles.

81. A Square is a rectangle bounded by four equal sides.

1. How many square inches in a strip of board 1 inch wide and 12 inches long? In 2 such strips? In 3? In 4? In 5? In 6?7? 8 ? 9? 10? 11? 12?

RECTANGLE.

SQUARE.

2. A square yard is a square, each side of which is 1 yd., or 3 ft. long.

This drawing represents a square yard divided into square feet.

3. In 1 row there are 3 sq. ft., in 3 row there are 3 times 3 sq. ft., or 9 sq. ft.

4. How many square feet in the surface of a table 3 feet wide and 6 feet long?

1

SQUARE
FOOT.

3 sq. ft. x 39 sq. ft.

5. How many square feet in the floor of a room 8 ft. wide and 10 ft. long?

6. How many square feet in a hall 6 ft. wide, 12 ft. long? How many square yards? How many yards of carpet 1 yd. wide will cover it?

7. How do we find the surface or contents of a square or rectangular figure?

Ans. By taking the product of the numbers denoting its two dimensions-the length and breadth.

82. A Solid or Body has three dimensions-length, breadth, and thickness.

83. A Rectangular Solid is a body bounded by six rectangular plane faces.

The opposite sides are equal and parallel.

84. A Cube is a body bounded by six equal squares, or faces.

The sides of these squares are called the edges of the cube.

85. Cubic or Solid Measure is used in measuring solids;

CUBE.

as timber, wood, stone, boxes of goods, etc.

87. 1. How many cubic feet in a piece of timber 1 foot square at the ends and 3 feet long? In 2 such pieces? 2. A cubic yard is a cube each face of which is 1 sq. yd., and each edge 1 yd., or 3 ft., long.

3. How many cubic feet in a block of marble 1 ft. thick, 3 ft. wide, and 6 ft. long? 2 ft. wide, 2 ft. thick, and 4 ft. long?

4. How many inches in a cubic block whose edges are 3 inches long? Are 4 inches long?

5. How do we find the solidity, or contents, of a cube or of an oblong body?

Ans. By taking the product of the numbers denoting the three dimensions-the length, breadth, and thickness. 6. How many cubic feet in a pile of wood 8 ft. long, 4 ft. wide, and 4 ft. high? In a pile 6 ft. long, 5 ft. wide, and 3 ft. high?

7. If a stove burn 1 cord-foot of wood in a week, in what time will it burn 1 cord? 2 cords? 3 cords?