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3. How many cubic feet in a stone wall 16 ft. long, 1 ft. thick, and 1 ft. high? Such a wall is called a perch of stone.

4. How many perches of stone in a wall 32 ft. long, 6 ft. high, and 18 in. thick?

5. How many cords of wood in a pile 16 ft. long, 4 ft. wide, and 6 ft. high?

6. A pile of wood 32 ft. long and 4 ft. wide contains 768 cu. ft. Find its height.

7. How many cubic inches in a 12-inch cube ?

8. How many 2-inch cubes will be needed to build a cube with an edge of 6 inches ?

9. Which will hold the more, 4 cubical boxes with 5-inch edges, or 5 cubical boxes with 4-inch edges?

10. How many bricks 8 in. × 4 in. × 2 in. will it take to build a wall 20 ft. long, 8 ft. high, and 18 in. thick? 11. Find the volume of a triangular prism whose altitude is 6 ft. and the area of whose base is 336 sq. in.

12. What must be the altitude of a rectangular prism to contain 216 cu. in. if its bases are 4 in. by 6 in.?

13. Find the volume of a hexagonal prism whose sides are each 121⁄2 in., altitude 10 ft., and perpendicular distance from the center of the base to one side 5.47 in.

14. How many 2-inch cubes can be cut from a block of wood 8 in. × 4 in. × 4 in., not considering loss in cutting?

15. A ton of coal is equal to 36 cu. ft. How many tons can be put into a bin 6 ft. long, 16 ft. wide, and 81 ft. deep?

LESSON 44

1. If an inch cube is placed upon a flat surface, as a table, how many square inches of surface will it cover?

2. How many inch cubes will cover two square inches? Three square inches? Four square inches?

3. Is it true that the number of cubic inches in a prism 1 in. high equals the number of square inches in the base of that prism?

4. Is it true that the number of cubic inches in a cylinder 1 in. high is the same as the number of square inches in the base?

It is evident from the accompanying figure that a cylinder, for example, 5 in. high, will contain 5 times as many cubic inches as a cylinder 1 in.

high.

5. Can you formulate a rule for finding the volume of a cylinder?

6. Find the volume of a cylinder the area of whose base is 25 sq. ft. and altitude 16 ft.

7. How many cubic feet of earth must be taken out in digging a well 30 ft. deep and 6 ft. in diameter ?

8. What is the volume of a cylinder whose altitude is 5 ft. and diameter of whose base is 3 ft. ?

9. What is the volume of a cylinder whose height is 5 ft. and the diameter of the base 10 in.?

10. Find the volume of a cylinder whose altitude is 8 ft. 6 in. and the diameter of the base 4 ft.

11. How many cubic feet in a street roller 61 ft. long and 8 ft. in diameter?

12. Find the volume of a cylinder whose altitude is 163 ft. and the diameter of whose base is 3 ft.

LESSON 45

1. How many cubic feet are there in a log 25 ft. long and 16 in. in diameter?

2. Find the number of cubic feet in a log 28 ft. 6 in. long and 7 ft. round.

3. Find the volume of a triangular prism whose altitude is 30 ft. and the base a right-angled triangle, with sides about the right angle 8 ft. and 6 ft. respectively.

4. The base of a prism 18 ft. high is a rectangle whose sides are 8 ft. and 12 ft. Find its volume.

5. What must be the length of a block of marble 8 in. wide and 4 in. thick to contain 512 cu. in.?

6. A well is 20 ft. deep and 4 ft. in diameter. How many cubic feet of water are there in it if it is full?

7. Find the contents, or volume, of a rectangular prism 121 ft. by 4 ft. by 6 ft.

8. In digging a cellar 50 ft. long and 20 ft. wide, 6000 cu. ft. of earth were taken out. How deep was it?

9. Find the entire surface of a piece of granite 51 ft. long, 3 ft. wide, and 2 ft. thick. Find its volume. 10. A circular ice pond 25 rd. in diameter is covered with ice 8 in. thick. How many cubic feet of ice are there

on the pond?

11. The isosceles triangle at the right is the base of a prism 20 ft. high.

Find its volume and convex surface.

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REVIEW WORK

LESSON 46

1. Describe a cylinder.

2. If of a ton of hay is sold for $9, how much will 2 T. 5 cwt. cost?

3. How much will 54 eggs cost at 22 a dozen?

4. If 4 men can do of a piece of work in a day, how long will it take one man to do of the work?

5. If 7 yd. of cloth cost $54, how much will yd. cost? 6. If a bushel of corn is worth 644, how much will a pint cost?

7. What is 33% of $3.75?

Of $33? Of $90.93 ?

8. If I buy eggs at 20¢ a dozen and sell them at 25¢ a dozen, the gain is what part of the cost? of the cost?

What per cent

9. A man bought 85 bu. of wheat at 60% a bushel. He sold 25% of it at 56 a bushel, 50% of it at 64¢ a bushel, and the rest at cost.

Find his gain.

10. A grocer bought potatoes at 60¢ a bushel and sold them at 75¢ a bushel. With the gain on 235 bu. he pur

chased sugar at 71

a pound.

How many pounds did

he get?

11. I have a garden 12 rd. long and 9 rd. wide. How much will it cost to fence the garden at $1.371⁄2 a rod?

12. When it is 9.30 o'clock at A, what time is it at a point 35° east of A? What time 35° west of A?

13. Add 7ğ, 65, .725, 91, .851, 64.32, 72§.

14. A tank 18 ft. long, 15 ft. wide, contains 60 cu. yd. Find its depth in feet.

LESSON 47

1. How much will 6 qt. 1 pt. of chestnuts cost at $2.56 a bushel ?

2. If lb. of cheese are worth 124, how much will 3 lb. cost?

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4. A man bought a flock of sheep and sold

to a butcher.

sheep.

of them

He afterward bought 13, and then had 43

How many sheep did he buy at first?

5. A certain number increased by g of itself equals 40. What is the number?

6. What is .15 of $80? 15% of $200?

7. Divide by ; by 7;

by & of 1.

8. If of my age is 14 yr., what is my age?

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9. If the interest on the money I owe is $2 for of a

month, what is the interest for

of a year?

10. 8 is what part of 25? of 21 is of the number of marbles John has. How many marbles has John?

11. How much is a peck of clover seed worth at 8 a pound?

12. What part of a peck is .02 bu.? Change .05 gal. to the fraction of a quart.

13. Change 146780 min. to higher denominations.

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