Evaluate: Homework and Practice
1.
Multiple Response Which
expression represents the surface
area of the regular square
pyramid shown? Select all
that apply.
t2
ts
A. _ + _
16
2
2.
t2
B. _
16
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t
s
t2
tℓ
C. _ + tℓ + _
4
2
ℓ
(
t
D. _ _t + ℓ
2 8
)
(
t
E. _ _t + s
2 8
)
Justify Reasoning A frustum of a pyramid is a part of the pyramid with
two parallel bases. The lateral faces of the frustum are trapezoids. Use the
area formula for a trapezoid to derive a formula for the lateral area of a
frustum of a regular square pyramid with base edge lengths b 1 and b 2 and
slant height ℓ. Show all of your steps.
b1
ℓ
b2
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3.
Draw Conclusions Explain why slant height is not defined for an oblique cone.
Find the lateral and surface area for each pyramid with a regular base. Where
necessary, round to the nearest tenth.
4.
12 cm
8 cm
Module 3
6.93 cm
180
Lesson 3
5.
6.
4 ft
15 ft
6 ft
6 ft
16 ft
16 ft
7.
25 cm
40 cm
Find the lateral and total surface area for each cone. Leave the answer in terms of π.
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8.
9.
22 m
23 cm
14 m
Module 3
23 cm
181
Lesson 3
10.
11.
24 in.
35 in.
25 in.
24 in.
Find the surface area for the composite shape. Where appropriate, leave in terms of π.
When necessary, round to nearest tenth.
12.
13.
26 m
15 ft
12 m
15 m
8 ft
© Houghton Mifflin Harcourt Publishing Company
32 m
18 ft
Module 3
182
Lesson 3
14.
15.
17 in.
24 in.
16.
14 cm
15 cm 9 cm
19 cm
7 in.
8 cm
5 cm
17.
10 m
8m
© Houghton Mifflin Harcourt Publishing Company
6m
24 m
18. Anna is making a birthday hat from a pattern that is _
​ 3  ​ of a circle of colored paper.
4
If Anna’s head is 7 inches in diameter, will the hat fit her? Explain.
6 in.
Module 3
183
Lesson 3