APPLICATION TO MANUAL TRAINING

107

Find the difference in time between the following dates: 3. From Jan. 23 to Nov. 15 of the same year. (Not a leap year.)

4. From Dec. 13, 1910, to April 3, 1912. (Compound subtraction.)

5. From May 10, 1900, to Jan. 5, 1904. (Compound subtraction.)

6. From Jan. 1, 1913, to Dec. 25, 1913.

APPROXIMATIONS USED IN BUSINESS

176. To find the number of bushels of grain in a bin, multiply the capacity in cubic feet by .8.

177. To find the number of heaped bushels of fruit or vegetables in a bin, multiply the capacity in cubic feet by .63. 178. To find the number of gallons in a cistern or reservoir, multiply the capacity in cubic feet by 7.48.

Find the approximate number of bushels of (a) grain, (b) apples, in the following bins:

1. 12' x 10' x 8'

2. 20' x 15' x 10'

3. 16' x 8' 4" x 7'

4. 18' 3" x 15' 9" x 12' 4"

Find the approximate number of gallons in the following: 5. A cylindrical cistern, diameter 4', depth 20'.

6. A cylindrical cistern, radius 3', depth 15'. 7. A reservoir, 100 rd. x 60 rd. x 50'.

APPLICATION OF PRACTICAL MEASUREMENTS TO

MANUAL TRAINING

1. A room 32′ × 28' is laid off so as to accommodate 20 pupils in manual training. Allowing one fifth of the floor space for the teacher's use in demonstration work, how much floor space is allowed per pupil ?

2. Find the total cost of the following manual training

5. At 26¢ per board foot, what will the material cost for making the table shown in the illustration? Add expense of sanding at 2 per board foot for all lumber used.

6. Find the cost of material and sanding in the following, quartered oak being 26¢ per board foot, and pine and basswood being 32 ¢; sanding is 2¢ per board foot.

1. Find I in the equation I= PRT, if_P= $300, R= .06, and T.

=

2. Find R in the equation PRT= I, if P = $250, T=1, and I= $6.25.

3. Solve for A in the equation A= 9.

4. Find the area of a circle whose radius is 3.

= 111.

5. Solve for c in the equation c = 2 r, if r =

6. Find the circumference of a circle whose radius is 91.

2x

7. A race track is laid out as shown in the figure, the ends being semicircles with a diameter x. The sides are 2x

in length. How long is the track if x 184.83 ft.?

8. Solve for A in the equation A= 6 a2, (1) if a = 2; (2) if a = 1; (3) if a = .1.

9. Find the total area of a cube (1) whose edge is 2; (2) whose edge is 1; (3) whose edge is .1.

10. Solve for x in the equation x 2 a2, if a = 90 ft.

GROUP 2

1. A baseball diamond is a square 90 ft. on a side. How far is it from home base to second base?

2. The diameter of an automobile tire is 30". How many times does the wheel turn in going of a mile?

3. Two buildings, separated by an alley 15' wide, are 103 and

78 ft. high, respectively. How far is it from the roof of the taller building to the roof of the lower?

4. How many 30" steps must be taken in walking diagonally across a square 40-A. field?

5. How long a rope will it take to reach from the top of a 30-ft. derrick to a point on the ground 18 ft. from its base?

6. A cogwheel railroad gains in elevation 1000 ft. in 1 mi. of track. What horizontal distance has been covered, the track being straight?

7. A railroad track describes a semicircle around the base of the mountain on a radius of 2200 ft. How much longer is the curve than a tunnel straight through would have been?

8. How many gallons of oil can be stored in a cylindrical tank 40' in diameter and 30' high?

9. How many cubic feet of water would cover an acre of ground to a depth of 1 in. ?

10. What is the depth of a cylindrical quart measure 41" in diameter ?

GROUP 3

1. At $1.28 a yard, how much will it cost to carpet a room 18' x 16' with Brussels carpet of a yard wide?

2. How much will it cost to dig a cellar 30′ × 16′ × 9′ 4′′, at 331 per cubic yard?

3. A grocer bought a 36-gal. barrel of cider for $5.40, and retailed it so as to gain $1.80. How much did he receive per quart?

4. What would be the cost of a hardwood floor 2" thick in a room 18' x 16' 4", if the lumber costs $333 per M, and labor costs $12.75?

5. How much will it cost to paper a room 20′ × 18′ × 10', allowing for 2 windows each 5' 4" x 3' 6" and for 1 double door 8' x 6', if the paper costs 60¢ per double roll?

6. At 32 per square yard, how much will it cost to plaster the walls and ceilings in the following dwelling :

Library, 14′ 6′′ × 13′; sitting room, 14' x 14'; dining room, 14' x 10'; kitchen, 12' x 8' 6"; pantry, 6' x 4'; 3 bedrooms, respectively, 14' 6" x 13', 14' x 12' and 10' x 10'; a hall, 22' 6' x 4' 6" ? All ceilings are 9' high. sq. ft. for openings.

Allow 600