worksheet 1 building solids using unit cubes · pdf fileworksheet 1 building solids using unit...

Worksheet 1 Building Solids Using Unit CubesHow many unit cubes are used to build each solid?

This is a unit cube.

1. 2.

unit cubes unit cubes

3. 4.


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CHAPTER

Surface Area and Volume15

MS_Reteach 5B_Ch15_163-182.indd 163 4/8/09 8:02:46 PM

5. 6.


7. 8.


9. Draw three different solids using 7 unit cubes.

10. Draw three different solids using 15 unit cubes.

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Chapter 15 Lesson 15.1


Worksheet 2 Drawing Cubes and Rectangular PrismsDraw these cubes or rectangular prisms on the dot paper without showing the unit cubes.

Example

1.

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2.

3.

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4.

Complete the drawing of each cube or rectangular prism.

5.

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6.

Draw a rectangular prism that has edges 3 times as long as this prism.

7.

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Worksheet 3 Nets and Surface AreaFind the surface area of each cube.

4 in.

4 in.4 in.

Example

The surface area is equal to the sum of the areas of the 6 square faces.

Area of one square face � 4 � 4 � 16 in.2

Surface area of the cube � 6 � 16 � 96 in.2

1.

7 cm7 cm

7 cm

2.

14 in.

14 in.

14 in.

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3.

16 cm

16 cm

16 cm

Find the surface area of each rectangular prism.

4.

7 cm

4 cm5 cm

5.

13 in.

8 in.6 in.

6.

17 in.

17 in.

8 in.

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7.

9 m2 m

11 m

Find the surface area of each triangular prism.

8. The base of this triangular prism is a right triangle.

6 cm

8 cm

10 cm

22 cm

9.

5 in.

29 in

.

5 in.

8 in.3 in.

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Solve. Show your work.

10. A rectangular cupboard measures 110 centimeters by 85 centimeters by 40 centimeters. What is the surface area of the cupboard?

11. A rectangular display cabinet measures 96 centimeters by 78 centimetersby 34 centimeters. What is the surface area of the outside of the cabinetif it does not have a cover?

96 cm

78 cm

34 cm

12. A rectangular bedroom measures 12 feet by 8 1 _ 2 feet by 7 feet. The rectangular

door in the bedroom measures 2 feet by 6 1 _ 2 feet. Joanne decides to paint the

walls of the room pink. Find the surface area of the walls in the room.

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Worksheet 4 Understanding and Measuring VolumeThese solids are formed by stacking 1-centimeter cubes. Find the volume of each solid.

1. 2.

Volume � cm3 Volume � cm3

3. 4.


5. 6.


7. 8.


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These solids are built using unit cubes. Find the volume of each solid.Then compare the volumes and fi ll in the blanks.

Example

Volume � cubic units Volume � cubic units

Solid has a larger volume than solid .

A B

17

A B

10

These solids are built using 1-inch cubes. Find the volume of each solid. Then compare their volumes and fi ll in the blanks.

9.

C D

Volume � in.3 Volume � in.3

Solid has a smaller volume than solid .

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These solids are built using 1-foot cubes. Find the volume of each solid. Then compare their volumes and fi ll in the blanks.

10.

E F

Volume � ft3 Volume � ft3

Solid has a larger volume than solid .

These solids are built using 1-centimeter cubes. Find the volume of each solid. Then compare their volumes and fi ll in the blanks.

11.

G H

Length � cm Length � cm

Width � cm Width � cm

Height � cm Height � cm


Solid has a larger volume than solid .175Reteach 5B

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These solids are built using 1-meter cubes. Find the volume of each solid. Then compare their volumes and fi ll in the blanks.

12.

K M

Length � m Length � m

Width � m Width � m

Height � m Height � m

Volume � m3 Volume � m3

Solid has a smaller volume than solid .

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Worksheet 5 Volume of a Rectangular Prism and LiquidFind the volume of each rectangular prism or cube.

1.

8 cm

8 cm

8 cm

2.

18 cm

35 cm

27 cm

Volume � Volume �

3.

13 m

13 m

13 m

4.

15 m

20 m

38 m


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5.

48 in.

26 in.19 in.

6.

9 in.

9 in.

9 in.


7.

18 ft

34 ft21 ft

8.

15 ft

15 ft

15 ft


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Solve. Show your work.

17 cm

14.5 cm12 cm

Example

The capacity of a container is the liquid volume of the container.

Steven fi lls a rectangular container measuring 17 centimeters by 14.5 centimeters by12 centimeters with orange juice. How many liters and milliliters of orange juice are therein the container?

Volume of orange juice in the container� 17 cm � 14.5 cm � 12 cm� 2,958 cm3

� 2,958 mL� 2 L 958 mL

9. The base of a miniature rectangular fi sh tank measures 8 centimeters by 4.5 centimeters. The height of the tank is 6 centimeters. Find the capacityof the tank in liters and milliliters.

8 cm

4.5 cm

6 cm

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MS_Reteach 5B_Ch15_163-182.indd 179 4/9/09 11:03:35 AM

10. A rectangular container measures 6 centimeters by 3.5 centimeters by12 centimeters. It is completely fi lled with water. How many liters and milliliters of water are there in the container?

6 cm3.5 cm

12 cm

11. A rectangular box measures 15 centimeters by 9 centimeters by13 centimeters. Shannon uses the box to mix glue for her project.She fi lls the entire box with glue. How many liters and millilitersof glue are there in the box?

15 cm

9 cm

13 cm

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12. A rectangular container is 1 _ 2 -fi lled with water. How much water is needed

to fi ll the container? After the container is fi lled, how much water must be

poured out so that the container is 1 _ 3 full?

12 cm

15 cm8 cm

13. A tank is 1 _ 2 -fi lled with water. Some of the water is then poured into 8 small

containers each with a capacity of 27 cubic centimeters. The tank is now

1 _ 4 full. What is the capacity of the tank?

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14. A swimming pool, 25 meters wide, 50 meters long, and 12 meters deep,

is 2 _ 3 -fi lled with water. Its cross section is as shown below. How much water

must be drained off so that the water level falls to 5 meters?

40 m

3 m

9 m

5 m

5 m

5 m

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worksheet 1 building solids using unit cubes · pdf fileworksheet 1 building solids using unit...

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