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822. To find how many rods in 43 yards, we divide by 5. 5 yards 11 half-yards. 43 yards 86 half-yards. As there are 11 half-yards in a rod, 86 half-yards will be equal to 7 rods and 9 half-yards, or 7 rods 4 yards. Changing yd. to 1 ft. 6 inches, we obtain the answer as above.

38. From 8 rd. 1 ft. take 2 rd. 2 ft.

39. Find the difference between 3 rd. 1 yd. 1 ft. and 16 rd.

40. Multiply 5 rd. 4 yd. 2 ft. by 4.

41. Multiply 11 rd. 2 ft. by 10.

42. Divide 30 rd. 5 yd. 2 ft. by 8.

43. Divide 34 rd. 2 yd. by 9.

SOLID CONTENTS.

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

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

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

How many cubic inches in a box 3 in. long, 4 in. wide, 1 in. high? In a box 3 in. long, 4 in. wide, 2 in. high? In a box 4 in. long, 4 in. wide, 4 in. high?

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

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?

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

4. Can you give a rule for finding the contents of a box 6 in. long, 8 in. high, 4 in. wide?

5. How many cubic inches of water would a tin box hold, the dimensions of the box being 5 in. by 31 in. by 4 in.?

6. How many one-inch cubes could be placed in a box one foot long, one foot wide, one foot high?

7. How many cubic inches in a cubic foot?

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

How many cubic feet in a cubic yard? How many cubic inches in a cubic yard?

9. How many cubic inches in a solid, 3 yd. long, 2 ft. wide, 6 in. high? How many cu. ft.? How many cu. yd.?

Indicate the operations necessary in each case to obtain the correct answer.

What should be done with the denominations in each case before beginning the work of obtaining the solid contents?

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

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

12. A gallon contains 231 cu. in. Give the dimensions of a tin box that will hold exactly a gallon.

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

14. How many cubic yards of earth will have to be removed in digging a cellar 18 ft. wide, 55 ft. long, 6 ft. deep? What will be the cost at 60¢ a load (1 cu. yd.)?

15. Give the width of a wagon body 18 in. high, 6 ft. long, that will hold, when full, a cubic yard.

16. About how many gallons are there in a cu. ft.?

17. A bushel contains 2,150.4 cu. in. ft. in a bushel?

About how many cu.

18. Find (by cancellation) the capacity in gallons of a tank 1 ft. 9 in. long, 1 ft. 3 in. wide, 1 ft. 10 in. deep.

19. Find (by cancellation) the capacity in bushels of a bin 1 yd. long, 2 ft. 4 in. wide, 5 ft. 4 in. high.

20. How many cords of wood (128 cu. ft.) are there in a pile 24 ft. long, 4 ft. wide, 12 ft. high?

21. A brick is 8 in. long, 4 in. wide, 2 in. thick. How many bricks are there in a pile 90 bricks long, 60 bricks wide, 30 bricks high? What are the dimensions of the pile ?

How many cu. in. in 1 brick? In the pile?

22. Find the number of bricks in a wall 24 ft. wide, 48 ft. high, 1 ft. thick, making no allowance for mortar, etc.

23. How many bricks are there to a cu. ft. ?

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

25. What will be the cost of building a stone wall 40 rods long, 4 ft. high, 1 yd. thick, at $6.40 per perch of 24 cu. ft.?

APPROXIMATIONS.

826. Give sight answers in whole numbers:

1. If there are about 71 gal. to a cu. ft., estimate the number of gallons in a tank 5 ft. long, 3 ft. wide, 4 ft. high.

2. If there are about 14 cu. ft. in a bushel, estimate the contents in bushels of a bin 5 ft. x 3 ft. x 4 ft.

3. Give the dimensions of a tank of 150 gal. capacity.

4. Give the dimensions of a bin that will hold 100 bushels.

5. At 20 bricks laid in mortar to the cu. ft., give the length and the height of a wall 1 ft. thick that can be built with a thousand bricks.

6. At $1 a load (1 cu. yd.), give the dimensions of an excavation that can be made for $100.

7. A cu. ft. water (about 71⁄2 gal.) weighs 62 lb. About what does a gallon weigh? A pint?

8. If iron is about 74 times as heavy as water, about what does a cubic foot of iron weigh?

9. About what is 49% of $801?

10. About what will be the interest at 6 per cent on $100 for 3 yr. 11 mo. 29 da.?

In weighing gold and silver, troy weight is used. The following is the table:

24 grains (gr.) 1 pennyweight (dwt.)

20 pennyweights 1 ounce (oz.)

The abbreviation for pennyweight is also written pwt.

829. The pound apothecaries' weight-used in putting up prescriptions contains the same number of grains (5,760) as the pound troy.

830. The pound avoirdupois contains 7,000 grains.