Chapt
Name:
Date:
er
Practice 1
Surface Area and Volume
Building Solids Using Unit Cubes
Find the number of unit cubes used to build each solid.
2.
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1.
unit cubes
3.
unit cubes
4.
unit cubes
5.
unit cubes
6.
unit cubes
unit cubes
Lesson 15.1 Building Solids Using Unit Cubes
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Find the number of unit cubes used to build each solid.
8.
7.
unit cubes
9.
unit cubes
unit cubes
11.
unit cubes
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10.
unit cubes
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Chapter 15 Surface Area and Volume
2/25/09 2:07:34 AM
Name:
Date:
Practice 2 Drawing Cubes and Rectangular Prisms
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Draw on dot paper.
1.
Draw a unit cube.
2.
Draw two different views of a rectangular prism made up of 2 unit cubes.
3.
Draw two different solids made up of 3 unit cubes each.
Lesson 15.2 Drawing Cubes and Rectangular Prisms
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Draw each cube or rectangular prism on the dot paper.
Example
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4.
5.
6.
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Chapter 15 Surface Area and Volume
2/25/09 2:07:35 AM
Name:
Date:
Draw each cube or rectangular prism on the dot paper.
7.
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8.
Draw a cube with edges 4 times as long as the edges of this unit cube.
9.
Lesson 15.2 Drawing Cubes and Rectangular Prisms
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10.
11.
12.
13.
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Complete the drawing of each cube or rectangular prism.
Chapter 15 Surface Area and Volume
2/25/09 2:07:37 AM
Name:
Date:
Practice 3
Nets and Surface Area
Find the surface area of each cube.
Example
1.
5 in.
3 cm
5 in.
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3 cm
3 cm
3×3=9
6 × 9 = 54
Surface area
of cube = 54 cm2
5 in.
2.
3.
18 cm
12 in.
12 in.
12 in.
18 cm
Lesson 15.3
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18 cm
Nets and Surface Area
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Find the surface area of each rectangular prism.
Example
22 in.
2 × 8 × 4 = 64
2 × 22 × 4 = 176
2 × 22 × 8 = 352
64 + 176 + 352 = 592
Surface area of rectangular prism = 592 in.2
4.
6 in.
12 in.
15 in.
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4 in.
8 in.
5.
12 m
8m
19 m
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Chapter 15 Surface Area and Volume
2/25/09 2:07:39 AM
Name:
Date:
Find the surface area of each triangular prism.
Example
3 in.
5 in.
4 in.
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6.
18 in.
2 × 1 × 3 × 4 = 12
2
4 × 18 = 72
3 × 18 = 54
5 × 18 = 90
12 + 72 + 54 + 90 = 228
Surface area of triangular prism
= 228 in.2
13 cm
5 cm
24 cm
35 cm
Solve. Show your work.
7.
Jeffrey cuts out the net of a box he wants to make.
Find the surface area of the box.
8 in.
15 in.
8 in.
8 in.
10 in.
Lesson 15.3
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Nets and Surface Area
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Solve. Show your work.
8.
This glass fish tank does not have a cover. Find the total area of the glass panels
used to make the tank.
27 cm
9.
21 cm
The tank shown is made of steel. It does not have a cover.
Find the area of steel sheet used to make the tank.
13 ft
28 ft
1
6 2 ft
10.
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24 cm
A rectangular piece of poster board measures 60 centimeters
by 80 centimeters. Linn draws the net of a box on the poster board
and cuts it out. If the box measures 10 centimeters by 16 centimeters
by 27 centimeters, what is the area of the poster board left?
Chapter 15 Surface Area and Volume
2/25/09 2:07:40 AM
Name:
Date:
Practice 4 Understanding and Measuring Volume
These solids are formed by stacking unit cubes in the corner of a room.
Find the volume of each solid.
2.
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1.
Volume cubic units
Volume cubic units
Volume cubic units
4.
3.
Volume cubic units
Lesson 15.4 Understanding and Measuring Volume
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These solids are formed by stacking 1-centimeter cubes in the
corner of a room. Find the volume of each solid.
5.
6.
cm3
7.
cm3
9.
Volume cm3
Volume cm3
10.
Volume G5_WB_Ch15.indd 178
cm3
8.
Volume 178
Volume © 2009 Marshall Cavendish International (Singapore) Private Limited
Volume cm3
Chapter 15 Surface Area and Volume
2/25/09 2:07:41 AM
Name:
Date:
These solids are built using 1-centimeter cubes.
Find the volume of each solid. Then compare their volumes
and fill in the blanks.
11.
A
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Volume Solid
B
cm3
Volume cm3
has a greater volume than solid
.
These solids are built using 1-meter cubes.
Find the volume of each solid. Then compare their volumes
and fill in the blanks.
12.
C
Volume Solid
D
m3
Volume has a lesser volume than solid
m3
.
Lesson 15.4 Understanding and Measuring Volume
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These solids are built using 1-inch cubes. Find the volume of each solid.
Then compare their volumes and fill in the blanks.
13.
F
Length in.
Length in.
Width in.
Width in.
Height in.
Height in.
Volume in.3
Volume in.3
Solid
has a lesser volume than solid
.
These solids are built using 1-foot cubes. Find the volume of each solid.
Then compare their volumes and fill in the blanks.
14.
G
180
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H
Length ft
Length ft
Width ft
Width ft
Height ft
Height ft
Volume ft3
Volume ft3
Solid
© 2009 Marshall Cavendish International (Singapore) Private Limited
E
has a greater volume than solid
.
Chapter 15 Surface Area and Volume
2/25/09 2:07:42 AM
Name:
Date:
Practice 5 Volume of a Rectangular Prism
and Liquid
Write the length, width, and height of each rectangular prism or cube.
Example
Length 8
cm
Width 5
cm
Height 6
cm
6 cm
8 cm
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5 cm
1.
20 ft
12 ft
Length ft
Width ft
Height ft
Length in.
Width in.
Height in.
Length m
Width m
Height m
12 ft
2.
16 in.
25 in.
12 in.
3.
18 m
18 m
18 m
Lesson 15.5 Volume of a Rectangular Prism and Liquid
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Find the volume of each rectangular prism.
4.
9 cm
5 cm
The length of the rectangular prism is
centimeters.
The width of the rectangular prism is
centimeters.
The height of the rectangular prism is
centimeters.
Volume of the rectangular prism 5 length 3 width 3 height
5
3
5
cm3
5.
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Volume 5
3 yd
5 yd
4 in.
3
6.
2 in.
3 in.
© 2009 Marshall Cavendish International (Singapore) Private Limited
12 cm
8 yd
Volume 5
Chapter 15 Surface Area and Volume
2/17/10 2:10:08 PM
Name:
Date:
Find the volume of each rectangular prism or cube.
8.
7.
5 ft
16 m
6 ft
4 ft
16 m
16 m
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Volume Volume 9.
10.
24 cm
3 in.
4 cm
7 in.
9 in.
4 cm
Volume Volume 11.
12.
8 in.
8m
7 in.
8 in.
5m
3m
Volume Volume Lesson 15.5 Volume of a Rectangular Prism and Liquid
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Find the volume of each rectangular prism.
Length
Width
Height
13.
5 cm
12 cm
9 cm
14.
10 in.
25 in.
14 in.
15.
7m
12 m
8m
16.
24 ft
10 ft
15 ft
Volume
17.
Find the volume of a cube with edges measuring 9 centimeters.
18.
A rectangular prism has a length of 8 feet and a height of 5 feet.
Its length is twice its width. Find the volume of the rectangular prism.
19.
The base of a rectangular prism is a square whose sides each measure
9 inches. The height of the rectangular prism is 11 inches. Find its volume.
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Solve. Show your work.
Chapter 15 Surface Area and Volume
2/25/09 2:07:42 AM
Name:
Date:
Practice 6 Volume of a Rectangular Prism
and Liquid
Write each measure in milliliters.
1.
690 cm3 2.
207 cm3 3.
2,000 cm3 4.
4,600 cm3 © 2009 Marshall Cavendish International (Singapore) Private Limited
Write each measure in cubic centimeters.
5.
420 mL L
6.
568 mL O
7.
3L
T
8.
15 L S
9
2 L 125 mL E
10. 5 L 60 mL W
11. 10 L 50 mL Y
12. 7 L 2 mL N
Do you know which national park is the oldest in the United States?
Match the letters to the answers to find out.
10,050 2,125
420
420
568 5,060 15,000 3,000 568 7,002 2,125
National Park
Write each measure in liters and milliliters.
13.
720 cm3 14.
7,000 cm3 15.
2,050 cm3 16.
1,470 cm3 17.
9,801 cm3 18.
4,003 cm3 19.
10,600 cm3 20.
1,075 cm3 Lesson 15.5 Volume of a Rectangular Prism and Liquid
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Find the volume of water in each rectangular tank in milliliters.
(Hint: 1 cm3 = 1 mL)
22.
21.
6 cm
9 cm
4 cm
12 cm
5 cm
7 cm
Volume Find the volume of water in each rectangular tank in liters and milliliters.
(Hint: 1,000 cm3 = 1 L)
24.
23.
6 cm
28 cm
5 cm
6 cm
8 cm
25 cm
Volume Volume 25.
26.
7 cm
9 cm
9 cm
Volume G5_WB_Ch15.indd 186
8 cm
26 cm
18 cm
186
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Volume Volume Chapter 15 Surface Area and Volume
2/25/09 2:07:42 AM
Name:
Date:
Solve. Show your work.
27.How much water is in this tank when it is 1 full?
3
9 cm
6 cm
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12 cm
28.This rectangular tank is filled with water to a height of 4 centimeters.
How much more water is needed to fill the tank completely?
6 cm
12 cm
4 cm
18 cm
187
Lesson 15.5 Volume of a Rectangular Prism and Liquid
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Solve. Show your work.
29.
A cubical tank with an edge length of 20 centimeters is filled with
3.75 liters of water. How much more water is needed to fill the tank
completely? Give your answer in liters.
20 cm
20 cm
30.
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20 cm
The rectangular tank shown is 1 -filled with water. Then another
4
1 liter 400 milliliters of water is added. Find the volume of water in
the tank in the end. Give your answer in liters and milliliters.
8 cm
20 cm
28 cm
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Chapter 15 Surface Area and Volume
2/25/09 2:07:45 AM
Name:
Date:
Solve. Show your work.
31.
This container is half-filled with oil. What is the volume of oil
in the container? Give your answer in liters and milliliters.
19 cm
14 cm
© 2009 Marshall Cavendish International (Singapore) Private Limited
14 cm
32.
A cubical tank whose edges each measure 12 centimeters is half-filled
with water. The water is poured into an empty rectangular tank measuring
10 centimeters by 8 centimeters by 7 centimeters until it is full.
How much water is left in the cubical tank? Give your answer in milliliters.
12 cm
12 cm
12 cm
7 cm
10 cm
8 cm
Lesson 15.5 Volume of a Rectangular Prism and Liquid
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Solve. Show your work.
33.
The rectangular swimming pool shown contains 600 cubic meters of water.
How much more water has to be added so that the water level is
1 meter from the top?
3m
30 m
34.
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50 m
The rectangular tank shown is filled completely with water. How much
water must be taken out so the height of the water level in the tank is
10 centimeters? Give your answer in milliliters.
15 cm
8 cm
6 cm
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Chapter 15 Surface Area and Volume
2/25/09 2:07:48 AM
Name:
Date:
Solve. Show your work.
35.
T he large rectangular tank shown is 4 -filled with water.
5
The water is then poured into the smaller rectangular container until it is full. How much water is left in the tank? Give your answer in liters and milliliters.
12 cm
15 cm
© 2009 Marshall Cavendish International (Singapore) Private Limited
15 cm
8 cm
6 cm
5 cm
36.Water flows into this tank at 8 liters per minute. How long will it take to fill the tank?
20 cm
50 cm
60 cm
191
Lesson 15.5 Volume of a Rectangular Prism and Liquid
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This rectangular container is 2 -filled with water.
5
How much more water is needed to increase the
height of the water level to 3 centimeters?
10 cm
5 cm
8 cm
© 2009 Marshall Cavendish International (Singapore) Private Limited
Show two methods of solving this problem.
Which method do you prefer? Why?
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Chapter 15 Surface Area and Volume
2/25/09 2:07:48 AM
Name:
Date:
Put On Your Thinking Cap!
Challenging Practice
1.
A rectangular tank is half-filled with water. Another 650 cubic centimeters
of water are needed to make it 3 full. How much water will be in the
5
tank when it is 3 full?
© 2009 Marshall Cavendish International (Singapore) Private Limited
5
2.
A cube has a surface area of 216 square centimeters.
A second cube has edges that are 3 times as long. How much greater is the
surface area of the second cube than the first cube?
Chapter 15
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Surface Area and Volume
193
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Put On Your Thinking Cap!
Problem Solving
height
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A prism has a square base whose edges each measure
5 centimeters. The ratio of its height to its width is 4 : 1.
Find the volume of the rectangular prism in cubic centimeters.
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Chapter 15 Surface Area and Volume
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