Preview
G5
&&66
*0'
5HFRJQL]HYROXPHDVDQDWWULEXWHRIVROLGILJXUHVDQGXQGHUVWDQG
FRQFHSWVRIYROXPHPHDVXUHPHQW
MG 1.3
Understand the concept of volume and use the appropriate units
in common measuring systems (e.g., cubic centimeter [cm3],
&&66 *0'D
$FXEHZLWKVLGHOHQJWKXQLWFDOOHGD³XQLWFXEH´LVVDLGWRKDYH
cubic meter [m3], cubic inch [in.3], cubic yard [yd3]) to compute
³RQHFXELFXQLW´RIYROXPHDQGFDQEHXVHGWRPHDVXUHYROXPH
the volume of rectangular solids.
&&66 *0'E
UNDERLYING SKILLS AND CONCEPTS:
spatial visualization
$VROLGILJXUHZKLFKFDQEHSDFNHGZLWKRXWJDSVRURYHUODSVXVLQJ
Find Volume
Volume is measured in cubic units.
a
K
ey Ide
Each cubic unit is 1 unit by 1 unit by 1 unit.
You can count cubes to find
the volume of each figure.
?
?
1
Find the volume of this figure.
This figure is made of 3 cubes,
so the volume is 3 cubic units.
E x am p l E
2
Find the volume of this figure.
You can’t see all of the cubes in this figure,
So, first determine the number of cubes on
the top layer of the figure.
There are 3 rows with 3 cubes in each row.
So there are 9 cubes in the top layer.
Then determine the number of layers of
cubes.
This figure has two layers of cubes.
Since there are 9 cubes in each layer and
2 layers in the figure, multiply:
2 ! 9, or 18.
The volume of this figure is 18 cubic units.
page 328
Chapter 28 – Lesson 2
D – © CSL Associates, Inc. All rights reserved.
E x am p l E
?
Name
P RAC T I C E
Find the volume of each figure. Write it below the figure.
1.
2.
10 cubic units
4.
3.
12 cubic units
5.
30 cubic units
6.
16 cubic units
D – © CSL Associates, Inc. All rights reserved.
7.
27 cubic units
8.
48 cubic units
9 cubic units
24 cubic units
Math
Reasoning
Volume
MR 1.1
9. Lin filled a box with 5 layers of cubes.
Each layer had 3 rows with 4 cubes in each row.
Francis filled a box with 2 layers of cubes.
Each layer had 6 rows of cubes with 5 cubes in each row.
Whose box had the greater volume? Explain.
Both boxes were the same volume. 5 3 4 60 and
2 6 5 60. They both had volumes of 60 cubic units.
Chapter 28 – Lesson 2
page 329
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:17
Page 220
Name
…at home!
P RAC T I C E
Find the volume of each figure. Write it below the figure.
1.
2.
8 cubic units
4.
3.
8 cubic units
5.
24 cubic units
6.
12 cubic units
8.
32 cubic units
6 cubic units
16 cubic units
Math
Reasoning
Volume
MR 1.1
9. Marie filled a box with 3 layers of cubes.
Each layer had 5 rows with 4 cubes in each row.
Jamie filled a box with 5 layers of cubes.
Each layer had 3 rows of cubes with 6 cubes in each row.
Whose box had the greater volume? Explain.
3 5 4 60 and 5 3 6 90.
Jamie’s box had the greater volume.
page 220
Home Resource and Homework
Chapter 28 Lesson 2
D – © CSL Associates, Inc. All rights reserved.
7.
36 cubic units
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:06 Page 605
Name
P RAC T I C E
Find the volume of each figure. Write it below the figure.
1.
2.
10 cubic units
4.
3.
12 cubic units
5.
30 cubic units
6.
16 cubic units
D – © CSL Associates, Inc. All rights reserved.
7.
27 cubic units
8.
48 cubic units
9 cubic units
24 cubic units
Math
Reasoning
Volume
MR 1.1
9. Lin filled a box with 5 layers of cubes.
Each layer had 3 rows with 4 cubes in each row.
Francis filled a box with 2 layers of cubes.
Each layer had 6 rows of cubes with 5 cubes in each row.
Whose box had the greater volume? Explain.
Both boxes were the same volume. 5 3 4 60 and
2 6 5 60. They both had volumes of 60 cubic units.
Chapter 28 – Lesson 2
Student Book Page
page 329
Name
…at home!
P RAC T I C E
Find the volume of each figure. Write it below the figure.
1.
2.
8 cubic units
4.
3.
8 cubic units
5.
24 cubic units
6.
12 cubic units
8.
32 cubic units
6 cubic units
16 cubic units
Math
Reasoning
Volume
MR 1.1
9. Marie filled a box with 3 layers of cubes.
Each layer had 5 rows with 4 cubes in each row.
Jamie filled a box with 5 layers of cubes.
Each layer had 3 rows of cubes with 6 cubes in each row.
Whose box had the greater volume? Explain.
3 5 4 60 and 5 3 6 90.
Jamie’s box had the greater volume.
page 220
Home Resource and Homework
Chapter 28 Lesson 2
D – © CSL Associates, Inc. All rights reserved.
7.
36 cubic units