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3. The Federal Department of Labor recently made an investigation in nineteen cities of the United States to find

Housing 14%

Fuel 5%

Furniture 5%

Recreation 21%

Clothing 17%

Food, 38%

out how the average family spends its income. The result is shown in this graph. Study and explain the graph. Tell of some of the comparisons and relations it brings out clearly.

Find the per cent allowed for food in the budget on pages 195 and 196. Does the average family as shown on the graph spend what it should for food?

Make this same comparison for clothing; for housing; for recreation.

4. The following graph was prepared by a city auditor and published in a newspaper to show the citizens what

Recreation

Education

Engineering

Streets and

Debt

Pub.Safety

Charity

Genl. Govt.

Miscellaneous

Police

Fire

part of each dollar spent goes to the different departments of the city.

Explain the graph. Compare the expenses of the different departments. What was the advantage of publishing this graph instead of merely giving figures showing the total amounts used by each city department?

5. Bring in illustrations of circle graphs taken from recent magazines and papers. Explain them to the class and tell what important facts and relations they represent.

Board Measure

Lumber is measured in board feet.

A board foot is 1 ft. by 1 ft., and 1 in. thick. To find the number of board feet in a piece of lumber, multiply the number of square feet of surface by the thickness in inches. Any thickness less than an inch is considered one inch.

Find the number of board feet in a board 10 ft. long, 9 in. wide, and 2 in. thick.

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Find the number of board feet in

1. A plank 10 ft. long, 6 in. wide, 1 in. thick.

2. A board 6 ft. long, 1 ft. wide, 1⁄2 in. thick.

3. Twenty boards, in. thick, 6 ft. long, and 8 in. wide. 4. Thirty boards, 10 in. wide, 11⁄2 in. thick, 16 ft. long. Lumber is generally quoted according to the price per 1,000 board feet. Lumber at $60 M, means at $60 per 1,000 board feet, the Roman numeral M being used for 1,000.

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5. What would be the cost of pine flooring 1′′ thick for a room 12' by 15'?

6. It required 1,200 bd. ft. of spruce to build some baseball bleachers. Find the cost of the lumber.

7. Find the cost of two basketball back boards 4' X 31 X 1" at $120 per M.

8. How much lumber is necessary for book shelves with two ends 3 x 8′′ × 1" and three shelves 23′ × 8′′ × 1′′?

5'

9. Find the cost of the ?" pine lumber required to build a barrier 2 ft. high around an ice hockey rink 30 yd. X 60 yd.

10. How much " lumber is needed to cover this chicken house? Find its cost at $65 per M.

Carpenter's Estimate for Bungalow

Here is a carpenter's estimate for a six-room bungalow. Fill in the missing amounts and find the estimated cost.

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The carpenter makes 81% profit. What was his profit?

THE RECTANGULAR SOLID

The formula for the volume of a rectangular solid is
V = l X w X h

Explain this formula. How is the result expressed?
If B represents the area of the base of the solid, then
V = BX h

Explain this formula.

Find the volumes of the rectangular solids with these dimensions.

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9. A cubic foot of water weighs 62 lb. What is the weight of water in a tank with a base 8 ft. by 9 ft., and a depth 12 ft., if the tank is full?

PRISMS AND CYLINDERS

A prism is a solid whose bases are equal polygons which are parallel to each other, and whose sides or lateral faces are parallelograms.

If the lateral faces are rectangles, the prism is a right prism. Only right prisms are considered in this book.

3. The Federal Department of Labor recently made an investigation in nineteen cities of the United States to find

Housing 14%

Fuel 5%

Furniture 5%

Recreation 21%

Clothing 17%

Food 88%

out how the average family spends its income. The result is shown in this graph. Study and explain the graph. Tell of some of the comparisons and relations it brings out clearly.

Find the per cent allowed for food in the budget on pages 195 and 196. Does the average family as shown on the graph spend what it should for food?

Make this same comparison for clothing; for housing; for recreation.

4. The following graph was prepared by a city auditor and published in a newspaper to show the citizens what

Recreation

Pub.Safety

Education

Engineering

Streets and

Debt

Charity

Genl. Govt.

Miscellaneous

Police

Fire

part of each dollar spent goes to the different departments of the city.

Explain the graph. Compare the expenses of the different departments. What was the advantage of publishing this graph instead of merely giving figures showing the total amounts used by each city department?

5. Bring in illustrations of circle graphs taken from recent magazines and papers. Explain them to the class and tell what important facts and relations they represent.

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