Measures of Volume

1728 Cubic Inches (cu. in.):

27 Cubic Feet

128 Cubic Feet

=

1 Cubic Foot (cu. ft.) = 1 Cubic Yard (cu. yd.)

= 1 Cord (cd.)

A load of earth, sand, concrete, or similar material is considered to be a cubic yard.

Cubic or solid measure is used in computing the volumes of solids, and the capacity of bins, boxes, etc.

ORAL DRILL

1. How many cubic feet in 2 cubic yards? in 3 cubic yards? in 5 cubic yards?

2. How many cubic inches in 2 cubic feet? in 10 cubic feet? 3. What part of a cubic yard are 9 cubic feet? 12 cubic feet?

4. How many cubic feet in 2 cords? incord? in cord? 5. What part of a cubic yard is 18 cubic feet? 21 cubic feet?

6. What part of a cubic foot is 1 cubic inch? 864 cubic inches?

7. What part of a cubic yard is 1 cubic foot? 131⁄2 cubic feet?

8. What part of a cubic foot is a 6-inch cube?

9. What part of a cubic yard is an 18-inch cube?

10. What part of a cubic foot is a 4-inch cube?

Rule. - To find the volume or capacity, as of a cellar, multiply together the length, width, and depth.

EXAMPLE. Find the cost at 25 cents per cubic yard of excavating a cellar 36 feet in length, 21 feet in width, and 8 feet deep.

4 7

36 × 21 × 8

27

= 224, the number of cubic yards

$.25 × 224 = $56.00, the cost

Exercise

1. Find the cost of excavating a cellar 32 feet long, 18 feet wide, and 6 feet deep at 25 cents per cubic yard.

2. Twenty-nine pupils and their teacher occupy a schoolroom 32 feet in length, 24 feet in width, and 14 feet in height. What is the average number of cubic feet of air for each person?

3. A city lot 50 feet by 150 feet is to be covered with a layer of earth one foot deep except where the house stands. The house is 36 feet by 54 feet. Find the number of loads of earth required, and its cost at $.25 a load.

4. How many bushels of grain will a bin hold that is 16 feet long, 6 feet wide, and 4 feet deep, if we allow 14 cubic feet to the bushel?

A pail six or seven inches in diameter and the same depth contains about a gallon.

A barrel contains about 4.2 cubic feet.

A cubic foot of water contains about 7.5 gallons and weighs about 62.3 pounds, or 1000 ounces.

ORAL DRILL

1. How many gills in 3 pints? in 3 pints? in 2 quarts? 2. How many pints in 1 gallon? in 2 gallons? in 3 gallons?

3. In 2 gallons how many quarts? pints? gills?

4. In 32 pints how many quarts? how many gallons? 5. What part of a quart are 6 gills? What part of a gallon?

6. What part of 2 gallons are 4 pints? are 8 pints? 2 quarts?

7. At 8 cents a pint what will 4 quarts of milk cost?

8. If a gallon of gasoline costs 21 cents, what will 5 gallons cost?

9. How many pint bottles will be required to hold 5 gallons of gasoline?

10. What is the profit if gasoline is bought for 20 cents a gallon and sold for 10 cents a pint?

UNIV. Or

Dry measure is used in measuring such substances as grain, seeds, vegetables, feed, etc.

13,000,000 BUSHEL COAL SHIPMENT BY BARGES

The Winchester bushel is the standard measure for dry substances. It is a cylindrical vessel 18 inches in diameter and 8 inches deep, and contains 2150.42 cubic inches.

A bushel contains about 14 cubic feet. A cubic foot is of a bushel.

ORAL DRILL

1. How many quarts in 3 pecks? in 6 pecks? in a bushel and a half?

2. In 96 quarts how many pecks? how many bushels? 3. How many quart boxes will a bushel and a half fill? 4. At 5 cents a pint what is a bushel of peanuts worth? 5. At 20 cents a quart what will 2 bushels of walnuts cost? 6. If peanuts are bought for $2 a bushel and sold at 5 cents a pint, what is the gain?

7. How many bushels in 5 cubic feet?

8. Which has the greater volume, a gallon or a bushel? 9. Which has the greater volume, a cubic foot or a gallon? 10. Which has the greater volume, a bushel or a barrel?

Exercise

1. A bin is 8 feet long, 6 feet wide, and 4 feet deep. Estimate roughly its capacity in bushels. Compute somewhat more closely its capacity.

2. A tank is 8 feet long, 6 feet wide, and 4 feet deep. Estimate roughly its capacity in gallons. Compute its capacity to a greater degree of accuracy.

3. A tank is 12 feet long and 6 feet wide. How deep must it be to hold 2500 gallons?

4. A man had 42 gallons of vinegar. He sold 6 gallons to one person, a gallon and a half to another, and 15 gallons to a third. What is the remainder worth at 10 cents a quart?

5. Five gallons of liquid will fill how many half-pint bottles?

6. How many 2-ounce bottles can be filled with 5 gallons of vanilla extract?

7. If a milkman retails on an average 100 quarts of milk a day, how many gallons of milk will he sell in three months?

8. A spice merchant put up 2 tons of ground mustard in one-quarter-pound cans. If the mustard cost him $330 a ton, the cans half a cent each, and the labor of canning $.80 per