15.4 Customary Units of Liquid Volume

Name
15.4
?
Geometry and
Measurement—4.8.A,
4.8.B
Also 4.8.C
MATHEMATICAL PROCESSES
4.1.D, 4.1.F, 4.1.G
Customary Units of
Liquid Volume
Essential Question
How can you convert customary units of liquid volume?
Unlock
Unlock the
the Problem
Problem
Liquid volume is the measure of the space a liquid
occupies. Some basic units for measuring liquid volume
are gallons, half gallons, quarts, pints, and cups.
= 8 fluid ounces
1 cup
1 pint = 2 cups
1 quart = 4 cups
The bars below model the relationships among some
units of liquid volume. The largest units are gallons. The
smallest units are fluid ounces.
1 gallon
1 gallon
1 half gallon
1 quart
1 pint
1 half gallon
1 quart
1 pint
1 pint
1 quart
1 pint
1 pint
1 quart
1 pint
1 pint
1 pint
1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
fluid
ounces ounces ounces ounces ounces ounces ounces ounces ounces ounces ounces ounces ounces ounces ounces ounces
Example How does the size of a gallon compare
to the size of a quart?
STEP 1 Draw two bars that represent this relationship. One bar
Math Talk
Mathematical Processes
Describe the pattern in the
units of liquid volume.
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should show gallons and the other bar should show quarts.
STEP 2 Shade 1 gallon on one bar and shade 1 quart on the
other bar.
STEP 3 Compare the size of 1 gallon to the size of 1 quart.
So, 1 gallon is _ times as much as 1 quart.
Module 15
537
Example 1 Convert larger units to smaller units.
Serena is making 3 gallons of lemonade to sell with her friend. Her
friend wants to know how many fluid ounces of lemonade Serena
made. How many fluid ounces of lemonade did Serena make?
STEP 1 Use the model on page 537. Find the relationship
between gallons and fluid ounces.
1 gallon = _ cups
1 cup = _ fluid ounces
1 gallon = _ cups × _ fluid ounces
1 gallon = _ fluid ounces
STEP 2 Make a table that relates gallons and fluid ounces.
Gallons
Fluid
Ounces
1
128
Think:
1 gallon = 128 fluid ounces
2
2 gallons × 128 = _ fluid ounces
3
3 gallons × 128 = _ fluid ounces
So, Serena made _ fluid ounces of lemonade.
Example 2 Convert smaller units to larger units.
Allison needs to make 36 cups of fruit punch for a party. The
recipe she has uses quarts instead of cups. How many quarts of
fruit punch does Allison need to make for the party?
Quarts
16
4
Think:
16 cups ÷ 4 = 4 quarts
24
24 cups ÷ 4 = __
32
32 cups ÷ _ = __
36
36 cups ÷ _ = __
So, Allison made _ quarts of fruit punch.
538
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Cups
Name
Share
Share and
and Show
Show
1. Compare the size of a quart to the size of a pint.
Use a model to help.
Customary Units of Liquid Volume
1 quart
1 cup (c) = 8 fluid ounces (fl oz)
1 pint (pt) = 2 cups
1 quart (qt) = 2 pints
1 quart (qt) = 4 cups
1 gallon (gal) = 4 quarts
1 gallon (gal) = 8 pints
1 gallon (gal) = 16 cups
1 quart is _ times as much as _ pint.
Complete.
2. 4 cups = _ pints
3. 12 quarts = _ gallons
4. 6 quarts = _ cups
5. 20 cups = _ quarts
6. 3 gallons = _ pints
7. 16 pints = _ cups
Math Talk
Mathematical Processes
Problem
Problem Solving
Solving
8.
Use Representations Multi-Step A soccer
team has 25 players. The team’s thermos holds 4 gallons
of water. If the thermos is full, is there enough water for
each player to have 2 cups? Explain. Make a table to help.
Explain how the conversion
chart above relates to the
model in Exercise 1.
Gallons
Cups
1
2
3
4
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9.
Penelope drank 64 fluid ounces of water each day for 7 days.
How many cups of water did Penelope drink during those 7 days? Explain.
Module 15 • Lesson 4
539
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
10. A corn plant gives off about 9 gallons of water each month during
the growing season. How many pints of water does the corn plant
give off each month?
A
144 pints
B
36 pints
C
72 pints
D
18 pints
11. Ken makes 6 quarts of fruit juice. He serves the juice in glasses that
hold 1 cup. How many glasses of fruit juice does Ken serve?
A
12 glasses
B
24 glasses
C
96 glasses
D
48 glasses
12. Multi-Step Marty’s pitcher holds 64 ounces of water. She drinks
4 cups of water in the morning and 2 cups in the afternoon. How
much water is left in the pitcher?
A
40 ounces
C
32 ounces
B
52 ounces
D
16 ounces
TEXAS Test Prep
13. A pitcher contains 5 quarts of water. How many cups of water does
540
A
4 cups
B
10 cups
C
20 cups
D
40 cups
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the pitcher contain?
H o mewo rk
and Practice
15.4
Geometry and Measurement—4.8.A,
4.8.B Also 4.8.C
MATHEMATICAL PROCESSES 4.1.D, 4.1.F, 4.1.G
Name
Customary Units of Liquid Volume
Complete.
1. 5 gallons = __ pints
2. 20 cups = __quarts
3. 3 cups = __ fluid ounces
4. 6 pints = __ quarts
5. 16 quarts = __ gallons
Customary Units of Liquid Volume
1 cup (c) = 8 fluid ounces (fl oz)
1 pint (pt) = 2 cups
1 quart (qt) = 2 pints
1 quart (qt) = 4 cups
1 gallon (gal) = 4 quarts
1 gallon (gal) = 8 pints
1 gallon (gal) = 16 cups
6. 40 fluid ounces = __ cups
Problem
Problem Solving
Solving
7. Marina’s mug holds 12 fluid ounces of liquid. She drinks 6 mugs
of liquid a day. How many cups of liquid does she drink? Explain.
Make a table to help you.
Cups
Fluid
Ounces
1
2
3
4
8. Joshua made 5 gallons of maple syrup. How many pint jars does
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he need to hold the syrup? Explain.
9. The label on a bottle of apple juice says it contains 128 fluid
ounces. How many quarts of juice are in the bottle? Explain.
Module 15 • Lesson 4 541
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
water. How many quarts of water does the
pail hold?
A
40 quarts
B
20 quarts
C
10 quarts
D
15 quarts
12. Multi-Step Marsha’s thermos holds
punch recipe. The juice comes in quart
bottles. How many bottles of juice should
Emily buy?
A
6
B
4
C
2
D
3
13. Multi-Step Each batch of pancakes Arlo
3 pints of tea. She drinks 2 cups of tea on
her break and 1 cup of tea for lunch. How
many cups of tea are left in the thermos?
makes needs 2 cups of milk. How many
batches of pancakes can Arlo make with
2 quarts of milk?
A
3 cups
A
8
B
2 cups
B
4
C
6 cups
C
2
D
4 cups
D
16
14. Multi-Step Antonia made 64 fluid ounces
of jam. How many pint jars can Antonia fill
with the jam?
542
11. Emily needs 12 cups of fruit juice for a
A
6
B
2
C
4
D
8
15. Multi-Step Peter’s glasses each hold
8 fluid ounces. How many glasses of juice
can Peter pour from a bottle that holds
2 quarts?
A
8
B
4
C
16
D
12
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10. Michael has a pail that holds 5 gallons of