10-4
Exercises
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.
{ÊV“
ÎÊvÌ
ÎÊV“
ÓÊV“
ÇÊvÌ
xÊV“
xÊvÌ
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.
ÎÊvÌ
£xÊÞ`
£ÓÊÞ`
{ÊvÌ
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.
{ÊvÌ
£{ÊvÌ
£{ÊvÌ
ÈÊvÌ
nÊvÌ
£ÓÊvÌ
£{ÊvÌ
nÊvÌ
£{ÊvÌ
SEE EXAMPLE 4
p. 683
Describe the effect of each change on the surface area of the given figure.
10. The dimensions are
cut in half.
11. The dimensions are
multiplied by __23 .
ÈÊÞ`
nÊÞ`
nÊÞ`
nÊÞ`
{ÊÞ`
SEE EXAMPLE
p. 683
684
5
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?
4
Chapter 10 Spatial Reasoning
PRACTICE AND PROBLEM SOLVING
Independent Practice
For
See
Exercises Example
13–15
16–18
19–20
21–22
23
1
2
3
4
5
Extra Practice
Skills Practice p. S22
Find the lateral area and surface area of each right prism. Round to the nearest
tenth, if necessary.
13.
14.
£xʓ
£äÊV“
xÊV“
£Óʓ
xÊV“
15. a right equilateral triangular prism with base edge length 8 ft and height 14 ft
Application Practice p. S37
Find the lateral area and surface area of each right cylinder. Give your answers
in terms of π.
{ÊV“
16.
17.
££Êˆ˜°
ÓÎÊV“
Çʈ˜°
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.
nÊV“
ÓÊV“
20.
ÓÊvÌ
ÓÊvÌ
ä°xÊvÌ
ÈÊV“
™ÊV“
£äÊV“
ÓÊvÌ
£ÊvÌ
Describe the effect of each change on the surface area of the given figure.
21. The dimensions are tripled.
22. The dimensions are doubled.
™ÊvÌ
ÎÊvÌ
™ÊvÌ
££ÊvÌ
£ÓÊvÌ
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)
£xÊø“
ÇÊø“
££Êø“
£äÊø“
ÎxÊø“
£xÊø“
10- 4 Surface Area of Prisms and Cylinders
685