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Understand
the concept of volume and use the appropriate
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units
in
common
measuring systems (e.g., cubic centimeter
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UNDERLYING SKILLS AND CONCEPTS:
measure liquid capacity;
multiply and divide by 2 and 4
[cm3], cubic meter [m3], cubic inch [in.3], cubic yard [yd3]) to
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compute
the volume of rectangular solids.
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Measure Capacity (Volume)
Capacity tells how much a container
holds or how much space an object
takes up.
Customary Units of Capacity
1 gallon (gal) ! 4 quarts (qt)
1 quart (qt) ! 2 pints (pt)
1 pint (pt) ! 2 cups (c)
Another word for capacity is volume.
Benchmark between
Cups, pints, quarts,and gallons are customary
systems: 1 liter is about 1quart
units used to measure liquid capacity.
Milliliters and liters are metric units used to
measure liquid capacity.
E x am p l E
Metric Unit of Capacity
1 liter (L) !1,000 milliliter (mL)
This jug holds 4 quarts of water.
How many pints does it hold?
A large soda bottle contains 2 liters of soda.
How many milliliters does it hold?
Remember: 1 quart ! 2 pints
Write a proportion.
Remember : 1 L ! 1,000 mL
Write a proportion.
quarts
1q
4q
# ! #! #
pints
2p
np
liter
1L
2L
# ! ## ! #
milliliter
1,000 mL
n mL
1n
1n ! 2 " 4
! 1,000 " 2
n
! 2,000
The bottle holds 2,000 milliliters.
n !8
The jug holds 8 pints.
E x am p l E
2
This beaker in a science lab can hold 500 mL of water.
How many liters can it hold?
Remember: 1 L ! 1,000 mL
Write a proportion.
500 mL
liter
1L
nL
# ! ## ! #
milliliter
1,000 mL
500 mL
250 mL
1,000n ! 1 " 500
1
n ! #2
page 282
50 mL
1
The beaker can hold #2 liter.
Chapter 24 – Lesson 3
E – © CSL Associates, Inc. All rights reserved.
1
Name
P RAC T I C E
Find the equivalent capacity. Show your work.
1. 3 pints cups
2. 3 quarts 3 2 c 6 cups
3. 3 quarts 3 2 pt 6 pints
cups
4. 8 quarts 3 4 c 12 cups
5. 5 gallons 6. 2 quarts 5 4 qt 20 quarts
liters
liters
8. 4 liters 10. 3,500 milliliters E – © CSL Associates, Inc. All rights reserved.
liters
liters
3,500 1,000 ml 3 1
10
milliliters
milliliters
4 1,000 ml 4,000 milliliters
1
100 1,000 ml liter
11. 10 liters gallon
5 4 qt 20 quarts
3,000 1,000 ml 3 liters
9. 100 milliliters gallons
8 4 qt 2 gallons
quarts
7. 3,000 milliliters pints
2
12. 100,000 milliliters 10 1,000 10,000 milliliters
liters
100,000 1,000 ml 100 liters
Solve. Explain how you decided.
13. Stephen was making juice drinks for the
14. Esmerelda used half of a bottle of
class party. The recipe called for
1 gallon of orange juice and 2 pints of
cranberry juice. How many cups is that
in all?
water. The capacity of the bottle was
2,000 mL. How many liters of water
were left in the bottle?
1 liter
20 cups
Math
Reasoning
Compare Capacity
MR 2.2
15. There are two containers. One holds 2,500 milliliters of water. The other holds 3 liters
of milk. Which container holds more liquid?
The milk container, because 3 L 3,000 mL.
Chapter 24 – Lesson 3
page 283
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:03
Page 190
Name
…at home!
P RAC T I C E
Find the equivalent capacity. Show your work.
cups
2. 5 quarts 5 2c 10 cups
3. 6 quarts 5 2pt 10 pints
cups
4. 16 quarts 6 4c 24 cups
5. 3 gallons 6. 6 quarts 2
liters
2,000 1,000 ml 2 liters
liters
1
200 1,000 ml liter
5
11. 20 liters gallon
gallon
6 4qt 1 1
3 4qt 12 quarts
9. 200 milliliters gallons
16 4qt 4 gallons
quarts
7. 2,000 milliliters pints
milliliters
20 1,000 20,000 milliliters
8. 6 liters milliliters
6 1,000 ml 6,000 milliliters
10. 6,500 milliliters liters
liters
6,500 1,000 ml 6 1
2
12. 200,000 milliliters liters
200,000 1,000 ml 200 liters
Solve. Explain how you decided.
13. Rafael was making juice drinks for the
class party. The recipe called for
2 gallons of orange juice and 4 pints of
cranberry juice. How many cups is that
in all?
2 gal 16 pt
16 pt 4 pt 20 pt 40
Math
Reasoning
14. Rhonda used one-fourth of a bottle of
water. The capacity of the bottle was
2,000 mL. How many liters of water
were left in the bottle?
2,000 4 500
500 3 1,500 mL 1.5 L
Compare Capacity
MR 2.2
15. There are two containers. One holds 2,500 milliliters of water.
The other holds 2 liters of soda. Which container holds more liquid?
The water container, because 2 L 2,000 mL.
page 190
Home Resource and Homework
Chapter 24 Lesson 3
E – © CSL Associates, Inc. All rights reserved.
1. 5 pints MCX94TEG5CH01_32.v7.4.2 2/24/01 19:49 Page 521
Name
P RAC T I C E
Find the equivalent capacity. Show your work.
1. 3 pints cups
2. 3 quarts 3 2 c 6 cups
3. 3 quarts 3 2 pt 6 pints
cups
4. 8 quarts 3 4 c 12 cups
5. 5 gallons 6. 2 quarts 2
liters
8. 4 liters 3,000 1,000 ml 3 liters
liters
milliliters
10. 3,500 milliliters milliliters
liters
liters
3,500 1,000 ml 3 1
10
E – © CSL Associates, Inc. All rights reserved.
2
4 1,000 ml 4,000 milliliters
1
100 1,000 ml liter
11. 10 liters gallon
1
of 4 quarts so gallon
2 is 1
5 4 qt 20 quarts
9. 100 milliliters gallons
8 4 qt 2 gallons
quarts
7. 3,000 milliliters pints
2
12. 100,000 milliliters liters
100,000 1,000 ml 100 liters
10 1,000 10,000 milliliters
Solve. Explain how you decided.
13. Stephen was making juice drinks for the
14. Esmerelda used half of a bottle of
class party. The recipe called for
1 gallon of orange juice and 2 pints of
cranberry juice. How many cups is that
in all?
water. The capacity of the bottle was
2,000 mL. How many liters of water
were left in the bottle?
1 liter
20 cups
Math
Reasoning
Compare Capacity
MR 2.2
15. There are two containers. One holds 2,500 milliliters of water. The other holds 3 liters
of milk. Which container holds more liquid?
The milk container, because 3 L 3,000 mL.
Chapter 24 – Lesson 3
Student Book Page
page 283
Name
…at home!
P RAC T I C E
Find the equivalent capacity. Show your work.
cups
2. 5 quarts 5 2c 10 cups
3. 6 quarts 5 2pt 10 pints
cups
4. 16 quarts 6 4c 24 cups
5. 3 gallons 6. 6 quarts 2
liters
2,000 1,000 ml 2 liters
liters
1
200 1,000 ml liter
5
11. 20 liters gallon
gallon
6 4qt 1 1
3 4qt 12 quarts
9. 200 milliliters gallons
16 4qt 4 gallons
quarts
7. 2,000 milliliters pints
milliliters
20 1,000 20,000 milliliters
8. 6 liters milliliters
6 1,000 ml 6,000 milliliters
10. 6,500 milliliters liters
liters
6,500 1,000 ml 6 1
2
12. 200,000 milliliters liters
200,000 1,000 ml 200 liters
Solve. Explain how you decided.
13. Rafael was making juice drinks for the
class party. The recipe called for
2 gallons of orange juice and 4 pints of
cranberry juice. How many cups is that
in all?
2 gal 16 pt
16 pt 4 pt 20 pt 40
Math
Reasoning
14. Rhonda used one-fourth of a bottle of
water. The capacity of the bottle was
2,000 mL. How many liters of water
were left in the bottle?
2,000 4 500
500 3 1,500 mL 1.5 L
Compare Capacity
MR 2.2
15. There are two containers. One holds 2,500 milliliters of water.
The other holds 2 liters of soda. Which container holds more liquid?
The water container, because 2 L 2,000 mL.
page 190
Home Resource and Homework
Chapter 24 Lesson 3
E – © CSL Associates, Inc. All rights reserved.
1. 5 pints