684 Chapter 10 Spatial Reasoning Exercises Exercises 10-4 KEYWORD: MG7 10-4 KEYWORD: MG7 Parent GUIDED PRACTICE 1. Vocabulary How many lateral faces does a pentagonal prism have? SEE EXAMPLE 1 p. 681 Find the lateral area and surface area of each right prism. 2. 3. 4. a cube with edge length 9 inches SEE EXAMPLE 2 p. 682 Find the lateral area and surface area of each right cylinder. Give your answers in terms of π. 5. 6. 7. a cylinder with base area 64π m 2 and a height 3 meters less than the radius SEE EXAMPLE 3 p. 682 Multi-Step Find the surface area of each composite figure. Round to the nearest tenth. 8. 9. SEE EXAMPLE 4 p. 683 Describe the effect of each change on the surface area of the given figure. 10. The dimensions are 11. The dimensions are cut in half. multiplied by 2 __ 3 . SEE EXAMPLE 5 p. 683 12. Consumer Application The greater the lateral area of a florescent light bulb, the more light the bulb produces. One cylindrical light bulb is 16 inches long with a 1-inch radius. Another cylindrical light bulb is 23 inches long with a 3 __ 4 -inch radius. Which bulb will produce more light? the 23 in. bulb 5 L = 72 ft 2 ; S = 142 ft 2 L = 24 cm 2 ; S = 36 cm 2 L = 324 in 2 ; S = 486 in 2 L = 24π ft 2 ; S = 42π ft 2 L = 180π yd 2 ; S = 292.5π yd 2 L = 80π m 2 ; S = 208π m 2 S ≈ 953.1 ft 2 S ≈ 2855.0 ft 2 The surface area is multiplied by 1 __ 4 . The surface area is multiplied by 4 _ 9 . 684 Chapter 10 10-4 Exercises Exercises KEYWORD: MG7 Resources Assignment Guide Assign Guided Practice exercises as necessary. If you finished Examples 1–2 Basic 13–18, 23–31 Average 13–18, 23–31, 41 Advanced 13–18, 23–31, 41, 43 If you finished Examples 1–5 Basic 13–34, 37–40, 44–50 Average 13–41, 44–50 Advanced 13–50 Homework Quick Check Quickly check key concepts. Exercises: 14, 16, 20, 22, 23, 34 4 mi 10 mi 12 mi 7 mm 2 mm 6 cm 10 cm 4 in. 4 in. 5 in. 2 in. 3 in. 1 cm 1 cm 10 cm 2 ft 1 ft 10-4 PRACTICE B 4 cm 6 cm 6 cm 2 in. 2 in. 8 in. 8 in. 8 in. 1 in. 10-4 PRACTICE A
Transcript
684 Chapter 10 Spatial Reasoning
ExercisesExercises10-4KEYWORD: MG7 10-4
KEYWORD: MG7 Parent
GUIDED PRACTICE 1. Vocabulary How many lateral faces does a pentagonal prism have?
SEE EXAMPLE 1 p. 681
Find the lateral area and surface area of each right prism.
2. 3.
4. a cube with edge length 9 inches
SEE EXAMPLE 2 p. 682
Find the lateral area and surface area of each right cylinder. Give your answers in terms of π.
5. 6.
7. a cylinder with base area 64π m 2 and a height 3 meters less than the radius
SEE EXAMPLE 3 p. 682
Multi-Step Find the surface area of each composite figure. Round to the nearest tenth.
8. 9.
SEE EXAMPLE 4 p. 683
Describe the effect of each change on the surface area of the given figure.
10. The dimensions are 11. The dimensions are cut in half. multiplied by 2__
3 .
SEE EXAMPLE 5 p. 683
12. Consumer Application The greater the lateral area of a florescent light bulb, the more light the bulb produces. One cylindrical light bulb is 16 inches long with a 1-inch radius. Another cylindrical light bulb is 23 inches long with a 3__4 -inch radius. Which bulb will produce more light? the 23 in. bulb
5
L = 72 ft 2 ; S = 142 ft 2
L = 24 cm 2 ; S = 36 cm 2
L = 324 in 2 ; S = 486 in 2
L = 24π ft 2 ; S = 42π ft 2 L = 180π yd 2 ; S = 292.5π yd 2
L = 80π m 2 ; S = 208π m 2
S ≈ 953.1 ft 2 S ≈ 2855.0 ft 2
The surface area is multiplied by 1__
4 .
The surface area is multiplied by 4_
9 .
ge07se_c10_0680_0687.indd 684 10/31/05 11:55:16 AM
684 Chapter 10
10-4 ExercisesExercises
KEYWORD: MG7 Resources
Assignment Guide
Assign Guided Practice exercises as necessary.
If you finished Examples 1–2 Basic 13–18, 23–31 Average 13–18, 23–31, 41 Advanced 13–18, 23–31, 41, 43
If you finished Examples 1–5 Basic 13–34, 37–40, 44–50 Average 13–41, 44–50 Advanced 13–50
Independent Practice Find the lateral area and surface area of each right prism. Round to the nearest tenth, if necessary.
13. 14.
15. a right equilateral triangular prism with base edge length 8 ft and height 14 ft
Find the lateral area and surface area of each right cylinder. Give your answers in terms of π.
16. 17.
18. a cylinder with base circumference 16π yd and a height equal to 3 times the radius
Multi-Step Find the surface area of each composite figure. Round to the nearest tenth.
19. 20.
Describe the effect of each change on the surface area of the given figure.
21. The dimensions are tripled. 22. The dimensions are doubled.
23. Biology Plant cells are shaped approximately like a right rectangular prism. Each cell absorbs oxygen and nutrients through its surface. Which cell can be expected to absorb at a greater rate? (Hint: 1 µm = 1 micrometer = 0.000001 meter)
Skills Practice p. S22Application Practice p. S37
Extra Practice
The surface area is multiplied by 4.
the cell that measures 35 µm by 7 µm by 10 µm
L = 200 cm 2 ; S = 250 cm 2
L = 1080 m 2 ; S ≈ 1828.2 m 2
L = 336 ft 2 ; S ≈ 391.4 ft 2
L = 77π in 2 ; S = 137.5π in 2
L = 184π cm2 ; S = 216π cm 2
L = 384π yd 2 ; S = 512π yd 2
S ≈ 352.0 cm 2
S ≈ 18.3 ft 2
The surface area is multiplied by 9.
ge07se_c10_0680_0687.indd 685 5/23/06 12:59:02 PM
Lesson 10-4 685
In Exercises 2–7 and 13–17, some students may make errors because they are confusing the concepts of lateral area and surface area. The lateral area is the “side area,” or the sum of the areas of all the side faces of a solid, excluding the bases. The surface area is the sum of the areas of all surfaces, including the bases.
3 in.
2 in.5 in.
25 m
35 m
30 m10 m
3 yd
2 yd 17 ft
16 ft
6 cm
1 cm1 cm
3 cm
3 cm
3 cm
3 cm
3 cm
10-4 PRACTICE C
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