topic 12 volume - mrs. stephanie evans class...

Topic 12

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Topic 12

Vocabulary Cards

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e

volumevolume

The number of cubic units needed to fill a solid figure

cubic unit

cubic unit

The volume of a cube 1 unit on each edge

Topic 12 1 of 1

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Daily Common Core Review12-1

1. �A�school�has�one�computer�for�every�17�students.�If�the�school�has�714�students,�how�many�computers�does�it�have?

A 41

B 42

C 46

D 47

2. �Derricka�has�two�identical�paper�circles�and�a�paper�rectangle.�What�three-dimensional�shape�can�she�create�a�net�for,�using�all�of�these�paper�shapes?

A Sphere

B Cone

C Rectangular�prism

D Cylinder

3. �The�Ferdinand�Magellan,�which�is�now�part�of�the�Gold�Coast�Railroad�Museum�in�Miami-Dade�County,�Florida,�weighed�129,252�kilograms�when�it�was�being�used�as�a�Presidential�Rail�Car�for�Franklin�D.�Roosevelt.�What�is�129,252�rounded�to�the�nearest�ten�thousand?

A 130,000

B 129,000

C 120,000

D 100,000

4. �Grace�takes�one�$5�bill,�three�$1�bills,�three�quarters,�and�five�nickels�to�the�fruit�stand.�What�is�the�most�that�Grace�can�spend?�

5. �The�table�shows�the�length�from�the�collar�of�a�shirt�to�each�button�down�the�front�of�the�shirt.

Button 1st 2nd 3rd 4th

Length(inches) 1��3�__�

4�� 3��1�__�

2�� 5��1�__�

4�� 7

�What�is�the�distance�from�the�collar�to�the�5th�button?�Explain�a�rule�for�the�number�pattern.

D 12•1

Name


Practice

12-1Models and VolumeFind the number of cubes needed to make each rectangular prism. You can use unit cubes or you can count the cubes by looking at the drawing.

1. 2. 3.

4. 5. 6.

7. In the space below, draw a model of a rectangular prism 5 cubes long × 4 cubes wide × 2 cubes high.

8. How many cubes would it take to make a model of a rectangular prism that is 3 units long × 2 units wide × 4 units high?

A 48 B 24 C 12 D 6

9. How can you find the volume of a rectangular prism using a model?

P 12•1

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Quick Check

12-1

3. How many unit cubes would you need to make a model of a rectangular prism that is 4 units long × 3 units wide × 2 units high?

A 9

B 12

C 18

D 24

4. WritingtoExplain A toy company produces snow globes that come in a box that is 5 inches long × 5 inches wide × 5 inches tall. How many models can fit in a shipping case that is 20 inches long × 20 inches wide × 20 inches tall? Explain your answer. You can use a drawing using unit cubes to help find the number of boxes in a case.

1. How many unit cubes are needed to make this rectangular prism?

A 10

B 17

C 20

D 40

2. How many unit cubes are needed to make the large cube?

A 16

B 32

C 48

D 64

Q 12•1

Name



1. �How�many�unit�cubes�would�it�take�to�make�a�model�of�a�rectangular�prism�that�is�6�units�long�×�4�units�wide�×�2�units�high?

A 14

B 22

C 24

D 48

2. �Six�people�went�to�a�party.�They�each�brought�one�friend.�Each�of�these�friends�brought�two�friends.�How�many�people�went�to�the�party�in�all?

A 24�people

B 18�people

C 20�people

D 12�people

3. �Which�two�rectangles�have�the�same�area?

A

B

C

D

4. �What�is�the�least�common�denominator�that�can�be�used�to�add��1�__�

6��and��8�___�

15��?�

5.

�Which�prism�has�the�greater�volume,�Prism�1�or�Prism�2?�Explain�your�answer.

Prism Model

1

2�

3 cm

3 cm

2 cm 2 cm4 cm

4 cm1 cm 1 cm

6 mi

6 mi

5 mi 5mi

10 mi

10 mi

3 mi 3 mi

8 mm

8 mm

3 mm 3 mm

6 mm

6 mm

5 mm 5 mm

8 in.

8 in.

7 in. 7 in.

10 in.

10 in.

3 in. 3 in.

D 12•2

5 yd

5 yd

5 yd10 cm

8 cm

2 cm

8 in.

13 in.

3 in.

10 m

8 m 4 m

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Practice

12-2VolumeFind the volume of each rectangular prism.

1. base area 56 in2, height 6 in.

2. base area 32 cm2, height 12 cm

3. base area 42 m2, height 8 m

4. 5.

8. What is the height of a solid with a volumeof 120 m3 and base area of 30 m2?

9. Bradford has an aquarium with a base that is 22 inches × 12 inches and a height that is 15 inches. What is the volume of the aquarium? Would the volume of the aquarium change if it did not have a lid? Explain.

6. What is the volume of the cereal box? 7. What is the volume of this solid?

A 3.2 m3 C 320 m3

B 32 m3 D 3,200 m3

P 12•2

8 in.

5 in.

9 in.

Name


Quick Check

12-2

3. An aquarium is 30 inches long, 15 inches high, and 12 inches wide. What is the volume of the aquarium?

A 5,400 in3

B 4,500 in3

C 360 in3

D 180 in3

4. WritingtoExplain A box is 42 inches long × 16 inches wide × 23 inches high. Draw and label the box.

Explainhow you can use the area of the base and the height to find the volume.

1. What is the volume of the box?

A 720 in3

B 360 in3

C 72 in3

D 45 in3

2. What is the volume of a rectangular prism with a base area of 32 cm2 and a height of 7 cm?

A 4 cm3

B 39 cm3

C 214 cm3

D 224 cm3

Q 12•2

Name



1. �Which�of�the�following�is�NOT�equivalent�to�4��1�_�4��?

A ��17�___�2��

B 4��2�__�8��

C ��17�___�4��

D 4��4�___�16

��

2. �A�bunch�of�basil�costs�$1.99�and�a�bunch�of�organic�basil�costs�$2.50.�If�Jean�wants�to�buy�two�bunches�of�organic�basil,�how�much�more�will�she�spend�than�if�she�buys�two�bunches�of�the�regular�basil?

A $0.49� C $1.02

B $0.51� D $1.49

3. �African�elephants�can�eat�up�to�500�pounds�of�vegetation�in�one�day.�How�many�pounds�of�vegetation�could�an�elephant�eat�in�a�week?

A � � ��350�pounds

B � 3,500�pounds

C � 5,000�pounds

D 35,000�pounds

4. �What�is�the�area�of�a�triangle�with�a�base�of�4�inches�and�a�height�of�13�inches?�Remember,�A�=��b�×�h ____�

2� �.

A 17�in2� C 34�in2

B 26�in2� D 52�in2

5. �What�decimal�is�represented�by�the�model?�

6. �Alice�needs�to�display�a�shipment�of�150�sweaters�on�the�shelves�of�her�store.�If�each�of�the�shelves�can�hold�up�to�24�sweaters,�what�is�the�minimum�number�of�shelves�that�Alice�will�need�for�the�display?�Explain�your�answer.�

D 12•3

9 in.

9 in. 6 in.

6 in.

3 in.

3 in.3 in.

3 in.

1 ft

1 ft 3 ft

3 ft

5 ft

2 ft

2 ft2 ft

10 cm

10 cm

10 cm6 cm

2 cm

4 cm7 cm

3 cm

2 in.

2 in.

5 in.

5 in.

5 in.

6 in.

7 in.

4 in.

4 cm

2 cm

2 cm3 cm

3 cm 5 cm

5 cm5 cm

5 cm

9 cm

Name


Practice

12-3

5. Paul wants to build this model with clay, but he does not know how many cubic centimeters of clay to purchase. How much clay should he purchase?

A 235 cm3 C 405 cm3

B 335 cm3 D 935 cm3

6. Ashley is stacking two boxes on a shelf. The bottom box measures 6 inches × 5 inches × 5 inches. The top box is a cube with one edge measuring 4 inches. What is the volume of this stack? Explain how you found your answer.

1.

3.

2.

4.

CombiningVolumesFor 1 through 4, find the volume of each solid figure.

P 12•3

8 in.

8 in.

8 in.

9 in.

3 in.

4 in.

5 in.

5 in.12 cm

12 cm

6 cm

6 cm8 cm

8 cm

4 cm

4 cm

1 in.

2 in.2 in.

4 in.6 in.

6 in.

Name


Quick Check

12-3

3. WritingtoExplain Carlos is an architect. He wants to build a skyscraper and creates this model to help him plan. Carlos believes that the upper part of the building has a greater volume than the lower part of the building. Explain whether or not he is correct. How can this help you find the volume of the entire model? What is this volume?

1. Which is the volume of the solid?

A 96 in3

B 192 in3

C 320 in3

D 416 in3

2. What is the volume of the solid?

A 72 cm3

B 432 cm3

C 672 cm3

D 864 cm3

Q 12•3

14 in.

3 in.

2 in.

Name



1. �What�is�the�volume�of�this�rectangular�prism?

A 42�in3� C � 84�in3

B 76�in3� D 152�in3

2. �Manatees�spend�up�to�8�hours�eating�each�day.�There�are�24�hours�in�one�day.�What�fraction�of�the�day�do�manatees�spend�eating?�Choose�the�simplest�form�of�the�fraction.

A ��6�___�12

�� C ��8�___�24

��

B ��3�__�8�� D ��1�__�

3��

3. �Abe�wants�to�use�this�recipe�to�make�a�pasta�salad.

PastaSalad

2��3�__�4��cups�cooked�orzo

1��1�__�2��cups�cherry�tomatoes,�halved

��3�__�4��cup�feta�cheese

3�tablespoons�olive�oiljuice�from��1�__�2��of�a�lemonfresh�herbs,�to�taste

�Which�of�the�following�is�the�most�reasonable�estimate�for�the�number�of�cups�of�pasta�salad�that�Abe�will�make?

A 3�cups� C 5�cups

B 4�cups� D 7�cups

4. �This�week,�Leigh�spent�a�total�of�$24.47�on�groceries.�Her�total�for�last�week�was�$30.16.�Solve�the�equation�$30.16�−�$24.47�=�y�to�find�out�how�much�more�money�Leigh�spent�last�week�than�this�week.

5. �Solve�the�equation.�Show�every�step�of�your�work.�3m�=�21

D 12•4

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Practice

12-4Problem Solving: Use Objects and ReasoningFind the volume of each figure of centimeter cubes.

1. 2.

3. 4.

5. 6.

7. Make and draw a figure of cubes that has a volume of 6 cm3.

8. Without building a model, tell whether a long row of 8 cubes or a cube made from 8 cubes would have a greater volume. Explain.

9. Make and draw a figure that has the same volume as the diagram.

10. Find the volume of these figures. Then describe the pattern(s) you see.Can you determine the volume of the next figure in the pattern? Explain.

P 12•4

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Quick Check

12-4

3. WritingtoExplain Use cubes to make a figure that has a volume of 8 cm3. Draw a picture and explain how you came up with your figure.

1. The above figure is made of centimeter cubes. What is the volume of the figure?

A 8 cm3

B 9 cm3

C 10 cm3

D 11 cm3

2. If the dimensions of each cube are doubled, how would the volume of the figure be changed?

A V × 4

B V × 2

C V + 2

D V × 8

Q 12•4

topic 12 volume - mrs. stephanie evans class...

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