3. How many paving tiles foot square will cover a hearth 6 feet long, 3 feet wide?

Make a diagram.

4. How many boards 12 feet long, 8 inches wide will be required for a close fence 120 yards long, 6 feet high?

5. Find the number of paving stones 9 inches by 3 inches, in a street 100 rods long, 10 yards wide.

6. Draw a rectangle 2 inches by 3 inches. Draw one twice the size. What are the dimensions of the latter? What are the dimensions of one four times the size?

A plot 100 feet by 100 feet is how many times as large as a plot 25 feet by 25?

7. A brick is 8 inches long, 4 inches wide, 2 inches thick. How many square inches are there in the surface of the widest face? In the surface of one side? In the surface of one end?

8. How many bricks laid on the widest face will be needed for a walk 288 inches long, 96 inches wide?

9. How many bricks laid on the side will be needed for a walk 24 feet long, 8 feet wide?

10. How many square feet are there in a roll of wall paper 24 feet long, 18 inches wide?

11. How many rolls 24 feet long, 14 feet wide, would be required to paper the ceiling of a room 45 feet long, 36 feet wide, making no allowance for matching or waste ?

12. The owner of a piece of ground 200 feet wide, 300 feet long, divides it into lots 25 feet by 100 feet. How many lots are there?

13. Make table of square measure:

square inches (sq. in.) = 1 square foot (sq. ft.)

14. There are 160 square rods in an acre. square yards are there in an acre?

How many

15. Give the dimensions, in yards, of a field that will contain just an acre. Of one that will contain two acres.

16. At $80 per acre what is the value of a field 80 rods long, 70 rods wide?

What will it cost to fence the field at 20¢ per running yard?

17. A man has a lot 100 feet by 200 feet. How many square feet will he have left for a garden after he builds a house 25 feet by 60 feet?

18. One wall of a room is 24 feet long and 12 feet high. There is a door in it 8 feet high, 4 feet wide. How many square yards of plastering will be needed to cover the wall?

19. What would be the cost of building 1800 feet of fence 6 feet high at $1 per square yard?

20. What is the length of a rectangular field 60 rods long that contains 60 acres?

21. A farm is one mile square. How many 40-acre fields does it contain?

22. How many acres in a field in the shape of a triangle whose base and perpendicular measure 40 rods each?

23. How many acres are there in a triangular plot of ground when the base measures 80 yards and the perpendicular measures 60 yards?

VOLUMES.

278. Preliminary Exercises.

1. How many one-inch cubes can be placed on the bottom of a box 4 inches long, 3 inches wide?

2. If the box is one inch high, how many will it hold? If the box is 2 inches high? 3 inches high?

NOTE.A cube one inch long, one inch wide, one inch high, contains a cubic inch.

3. How many cubic inches in a box 3 inches long, 4 inches wide, 1 inch high? In a box 3 inches

long, 4 inches wide, 2 inches high? In a box 4 inches long, 4 inches wide, 4 inches high?

4. If you had 24 one-inch cubes, how could you pile them to make a solid with six rectangular faces?

5. If the pile was 2 inches high, how many cubes would there be in each tier? How many square inches would the lower tier cover?

6. How could the 24 cubes be arranged to make a pile 3 inches high?

7. Can you give a rule for finding the number of cubic inches in a box 4 inches long, 2 inches high, 3 inches wide?

8. How many cubic inches of water would a tin box hold, the dimensions of the box being 5 inches by 3 inches by 4 inches?

9. How many one-foot cubes could be placed in a cubical box one yard long, one yard wide, one yard high?

1728 cubic inches (cu. in.) = 1 cubic foot (cu. ft.)

27 cubic feet

= 1 cubic yard (cu. yd.)

281. Written Exercises.

1. How many cubic inches in a solid 3 yards long, 2 feet wide, 6 inches high? How many cubic feet?

cubic yards?

How many

To find the volume in cubic inches, change 3 yards to 108 inches, and 2 feet to 24 inches.

Volume = (108 x 24 x 6) cubic inches.

Volume (in cubic feet) = (9 x 2 x ) cubic feet.

Volume (in cubic yards)

=

(3 x x ) cubic yards.

2. How many cubic feet of air in a room 24 feet long, 18 feet wide, 12 feet high?

3. Find the solid contents of a piece of timber 25 feet long, 3 feet wide, 5 feet thick. Is it larger or smaller than a piece 4 feet wide, 4 feet thick, and 23 ft. 6 in. long?

4. How many cubic yards of earth will have to be removed in digging a cellar 18 feet wide, 55 feet long, 6 feet. deep? What will be the cost at 60% a load (1 cubic yard)?

5. A brick is 8 inches long, 4 inches wide, 2 inches thick. How many bricks are there in a pile 60 feet long, 20 feet wide, 5 feet high?

6. Find the number of bricks in a wall 24 feet wide, 48 feet high, 1 foot thick, making no allowance for mortar, etc. 7. How many bricks are there to a cubic foot?

8. Allowing 20 bricks to a cubic foot when laid in mortar, how many bricks will be needed for a wall 24 feet wide, 50 feet high, 20 inches thick?

9. What will be the cost of building a stone wall 40 rods long, 4 feet high, 1 yard thick, at $6.40 per perch of 244 cubic feet?

10. A cord of wood contains 128 cubic feet. If the wood is cut into 4-foot lengths, what should be the other two dimensions of a regular pile to hold just a cord?

11. How many cords of wood are there in a pile 24 feet long, 4 feet wide, 12 feet high?