10-4 Exercises
10-4
Exercises
KEYWORD: MG7 10-4
KEYWORD: MG7 Parent
GUIDED PRACTICE
Assignment Guide
Assign Guided Practice exercises
as necessary.
1. Vocabulary How many lateral faces does a pentagonal prism have? 5
SEE EXAMPLE
Find the lateral area and surface area of each right prism.
1
p. 681
If you finished Examples 1–5
Basic 13–34, 37–40, 44–50
Average 13–41, 44–50
Advanced 13–50
L = 72 ft 2;
S = 142 ft 2
2.
If you finished Examples 1–2
Basic 13–18, 23–31
Average 13–18, 23–31, 41
Advanced 13–18, 23–31, 41, 43
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L = 24 cm 2;
S = 36 cm 2
3.
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4. a cube with edge length 9 inches L = 324 in ; S = 486 in 2
2
SEE EXAMPLE
Find the lateral area and surface area of each right cylinder. Give your answers
in terms of π.
2
p. 682
L = 24π ft 2; S = 42π ft 2 6.
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L = 180π yd 2;
S = 292.5π yd 2
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Homework Quick Check
Quickly check key concepts.
Exercises: 14, 16, 20, 22, 23, 34
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7. a cylinder with base area 64π m 2 and a height 3 meters less than the radius
SEE EXAMPLE
L = 80π m 2; S = 208π m 2
Multi-Step Find the surface area of each composite figure. Round to the
nearest tenth.
3
p. 682
8.
S ≈ 953.1 ft 2
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9.
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S ≈ 2855.0 ft 2
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Describe the effect of each change on the surface area of the given figure.
SEE EXAMPLE 4
p. 683
10. The dimensions are
cut in half. The surface area
11. The dimensions are
multiplied by __23 . The surface area is
is multiplied by __1 .
_
multiplied by 4 .
9
4
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SEE EXAMPLE
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
__
-inch radius. Which bulb will produce more light? the 23 in. bulb
4
5
p. 683
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PRACTICE AND PROBLEM SOLVING
13–15
16–18
19–20
21–22
23
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Find the lateral area and surface area of each right prism. Round to the nearest
tenth, if necessary.
Independent Practice
For
See
Exercises Example
L = 200 cm 2;
S = 250 cm 2
13.
1
2
3
4
5
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14.
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Extra Practice
L = 1080 m 2;
S ≈ 1828.2 m 2
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.
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15. a right equilateral triangular prism with base edge length 8 ft and height 14 ft
Skills Practice p. S22
L = 336 ft 2; S ≈ 391.4 ft 2
Application Practice p. S37
Find the lateral area and surface area of each right cylinder. Give your answers
in terms of π.
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L = 77π in 2;
S = 137.5π in 2
16.
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L = 184π cm 2;
S = 216π cm 2
17.
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18. a cylinder with base circumference 16π yd and a height equal to 3 times the radius
L = 384π yd 2; S = 512π yd 2
Multi-Step Find the surface area of each composite figure. Round to the
nearest tenth.
19.
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20.
S ≈ 18.3 ft 2
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S ≈ 352.0 cm 2
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Describe the effect of each change on the surface area of the given figure.
21. The dimensions are tripled.
22. The dimensions are doubled.
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The surface area
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The surface area
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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)
the cell that measures 35 µm by 7 µm by 10 µm
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10- 4 Surface Area of Prisms and Cylinders
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Lesson 10-4
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