Prealgebra for Two-Year Colleges/Workbook AIE/Length, area, and volume

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Length, Weight, and Volume

Materials Needed: Textbook

Why[edit]

Real-world problems almost always contain units. Some of the most common units in the U.S. are English units of length, weight, and volume.

Learning Objectives[edit]

  1. Explain the difference between length, weight, and volume, and identify appropriate English units for each.
  2. Know the conversion factors for common English units of length, weight, and volume.
  3. Give examples of situations in which a given operation (+, –, , ) is appropriate.

Warm-up[edit]

You should have the following facts memorized.

Complete the table.
Length:

1

in = 1 ft

2

ft = 1 yd

3

ft = 1 mi
Weight:

4

oz = 1 lb

5

lbs = 1 ton
Time:

6

sec = 1 min

7

min = 1 hr

8

hr = 1 day

9

dys = 1 mon

10

mon = 1 yr

11

wks = 1 yr

12

dys = 1 yr
Volume/Capacity:

13

fl oz = 1 cup

14

cups = 1 pt

15

pt = 1 qt

16

qt = 1 gal


Activity[edit]

Does the situation describe a length, weight, or volume? Select L, W, or V.

1

Filling you car with gas

L
W
V

2

Going on a diet

L
W
V

3

Measuring cough syrup

L
W
V

4

Figuring postage

L
W
V

5

Driving to Cincinnati

L
W
V

6

Building a fence

L
W
V
Write an appropriate English unit for measuring each of the following:

7

The distance from San Francisco to Washington, D.C.

8

The weight of an aircraft carrier

9

The size of a soda bottle

10

The size of a sheet of paper

11

The amount of flour in a loaf of bread

12

The amount of Cheerios in a box

13

Because of construction CalTrans needs to install 100 yds of concrete barriers along the edge of Highway 4. Each barrier is 1 yd 2 ft long. How many barriers are needed?

14

Write a realistic problem situation for 2 tons 850 lbs – 1 ton 1,430 lbs.

15

Solve the problem you wrote.

16

Write a realistic problem situation for 1 cup 4 fl oz × 13.

17

Solve the problem you wrote.

18

Write a realistic problem situation for 3 lbs 12 oz ÷ 12.

19

Solve the problem you wrote.

20

Write a realistic problem situation for 24 ft 9 in + 18 ft 6 in + 24 ft 9 in + 18 ft 6 in.

21

Solve the problem you wrote.