1. Reduce to the decimal of an acre: 60 sq. rd.; 500 sq. ft. Fill out blanks in the following table:

2. At $100 an acre, what will 40 sq. rd. of land cost? 96 sq. rd.? 250 sq. rd.?

3. What will a rectangular piece of land 42 rd. long, 18 rd. wide, cost at $80 an acre?

4. A rectangular piece of land measures 18 rd. 12 ft. long and 150 ft. wide. What is it worth at 2 a square foot?

5. A piece of land in the form of a rectangle is 68 ch. 18 li. long and 44 ch. 15 li. wide. What is it worth at the rate of

$240 an acre?

6. I bought 128 sq. rd. of land for $174.24. What did I pay for it a square foot?

7. I bought 24 A. of land at $300 an acre, and sold it at 1 a square foot. What was the gain or loss?

1. A room 18 ft. by 12 ft. 6 in. will require how many square yards of carpet to cover the floor? What would be the most economical way of placing the carpet? How long must the carpet be if it is 1 yd. wide? if it is yd. wide?

2. A floor 18 ft. long, 10 ft. wide, has a painted border 2 ft. wide around the room. How many square yards in the border? How

many square yards unpainted? (Draw plan.)

3. How long is a rectangular field which is 20 rd. wide and contains 600 sq. rd.?

4. A room which requires 20 sq. yd. of carpet to cover the floor is 18 ft. long. How wide is it?

5. How many yards of carpet 30 in. wide will it take to cover a floor 18 ft. 6 in. by 12 ft. ?

6. How wide must a board 12 ft. 6 in. long be to contain 8 sq. ft.? 7. One course or layer of boards 42 in. wide and 10 ft. long contains how many square feet?

8. Boxboards 50 in. long are laid in courses 8 ft. long. There are 28 courses. How many square feet? How much are they worth at the rate of $12.50 a thousand square feet?

9. How many courses 8 ft. long, 50 in. wide, will it take to make 1 M. of boards? to make 4850 sq. ft.?

10. A rectangular lot of land has 180 "front feet" on the street, and is 250 ft. deep. Which would be the cheaper price, 12 a square foot, or $31 a front foot? How much cheaper?

11. At 7 a square foot, what will it cost to prepare for use a blackboard 16 ft. 8 in. long, 4 ft. 3 in. wide?

12. How many bricks 8 in. ×4 in. × 2 in. laid flatwise, will it take to cover a surface containing 96 sq. in.? 320 sq. in.? How many more if placed edgewise?

13. How many square yards of paper will it take to cover the walls of a room 15 ft. X 12 ft. X 9 ft., no allowance for openings? 14. What is the area of a rectangular field 26.34 ch. long, 15.18 ch. wide?

15. How much will it cost to cement a cellar bottom 22 ft. 8 in. long by 16 ft. 7 in. wide at 85 a square yard?

1. The above figure is drawn on a scale of 12 feet to an inch. Find the number of square feet.

end?

2. This represents the gable end of a house 12 ft. wide (ab) and 24 ft. high to the roof (ac). The line ef is 12 ft. How many square feet in the If the house is 40 ft. long, how many square feet of boards will it take to inclose the sides and ends, not allowing for windows and doors?

3. Draw the gable end of a house on a certain scale, and find the number of square feet.

4. Draw the plan of a lot of land containing 180 sq. rd. on a scale of 30 rods to an inch. How many yards of fencing will it take to inclose it? How much is the lot worth at 5 a square foot?

d

5. Draw on any scale a lot containing an acre. How much will it cost to fence it at the rate of 20 a yard? What is the lot worth at a square foot?

6. Draw a polygon of any number of sides, and show how you can get the area.

7. Supposing the figures on page 60 to be drawn on a scale of a rod to of an inch, find the area of each.

8. How many square feet of boards will it take to cover the gable ends of a house 32 ft. wide, 40 feet high to the ridge pole, and 28 ft. high to the eaves? (Draw plan.)

9. How many square feet of boards will it take to cover the roof and sides of the above house, the roof being 20 ft. wide, and the house and roof being 46 ft. long?

1 Inch

1 Inch

1 Inch

1. The above figure represents a cubic inch. Make from a piece of wood, clay, or putty a cube of the same size; or cut thick paper

in the form here given, making each side four times as long. Fold together in the form of a cube. How many faces has the cube? How does the size of the faces compare? What is the form of the faces? How many edges has the cube? Name all the

things you have seen in the form of a cube.

2. Pile cubical blocks together, making a rectangular solid 4 in. long, 2 in. wide, 3 in. high. How many cubic inches in the pile ?

3. Let ab represent the pile; cd represents 1 block measuring a cubic inch. The lower layer of blocks has how many rows and

how many blocks in a row? 4 cu. in. × 2

=

cu. in. How many layers? The number of cubic inches in ab is 4 cu. in. × 2 × 3 =

cu. in.

4. How may we find the cubic contents of all rectangular solids?

1. How many cubic inches in a block 4 in. long, 3 in. wide, and 5 in. high? (The blocks and other solids referred to in this section are rectangular solids.)

2. How many cubic inches in a block 1 ft. long, 1 ft. wide, and 1 ft. high? Such a block is called a cubic foot (cu. ft.). = 1 cu. ft.

cu. in.

3. How many cubic feet in a solid 4 ft. long, 3 ft. wide, and 2 ft. high? How many cubic inches?

4. How many cubic inches in a block 6 ft. long, 2 ft. wide, and 1 ft. high?

5. How many cubic inches in a block 3 ft. 6 in. long, 18 in. wide, and 6 in. high? How many cubic feet?

6. How many cubic inches in a block of stone measuring 1 ft. 4 in. in each direction?

7. How many cubic feet in a solid 6 ft. square at the base and 2 ft. high?

8. The pedestal of a monument is a rectangular solid 4 ft. high, 6 ft. 6 in. long, and 6 ft. 6 in. wide. How many cubic feet in it? 9. A cubical block 1 yd. in length, width, and height is a cubic yard. How many cubic feet? cu. ft. = 1 cu. yd.

10. How many cubic yards in a block containing 216 cu. ft.? 540 cu. ft.? 94.8 cu. ft. ?

11. How many cubic yards and cubic feet in a block containing 400 cu. ft.? 640 cu. ft.?

12. How many cubic feet and cubic inches in a block containing 4000 cu. in.? 12,080 cu. in. ? .85 cu. yd.?

13. How many cubic inches in a block containing cu. ft.? cu. ft.?cu. yd. ?

14. What part of a cubic foot is 144 cu. in. ? 648 cu. in. ?

15. How many cubic inches in a box 8 in. long, 6 in. wide, and 4 in. high? If the boards are in. thick, what are the dimensions of the inside of the box? How many cubic inches in the inside? 16. How many square inches in the outside surface of the box given in the last problem? How many square inches of paper Iwould it take to cover the inside of the box?