Lesson 7 Problem-Solving Practice

NAME _____________________________________________ DATE ____________________________

PERIOD ____________

Lesson 7 Problem-Solving Practice

Surface Area of Pyramids

1. PORCH Lucille has a screened porch in the shape of a

square prism. The roof is a square pyramid. If the roof

is 9 feet by 9 feet and the slant height is 6 feet, find the

lateral area of the roof.

2. TENT The Summers children are camping out in the

tent shown. Find the lateral area of the tent.

3. BOX Alexander has a triangular pyramid box to keep

his holiday decorations in. Find the surface area of the

box.

4. SOCCER BALL Sarai wrapped a soccer ball in a box in

the shape of a square pyramid. The box has a base with

sides 12 inches and a slant height of 20 inches. How

many square inches of cardboard were used to make

the box?

5. MOBILE Gemma made a mobile to hang over her

brother¡¯s crib. She put each animal on the mobile in a

clear plastic case. The shape of one case was an

equilateral triangular pyramid as shown. Find the

surface area of the pyramid.

6. MOBILE Another clear plastic case on the mobile in

Exercise 5 is in the shape of a square pyramid. The

sides of the square base are each 2 inches and the slant

height is 4 inches. Find the surface area of this case.

134

Course 2 ? Chapter 8 Measure Figures

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 7 Problem-Solving Practice

Surface Area of Pyramids

1. PORCH Lucille has a screened porch in

the shape of a square prism. The roof is

a square pyramid. If the roof is 9 feet

by 9 feet and the slant height is 6 feet,

find the lateral area of the roof.

2. TENT The Summers children are

camping out in the tent shown. Find

the lateral area of the tent. 216 ft2

9 ft

108 ft2

12 ft

12 ft

3. BOX Alexander has a triangular

pyramid box to keep his holiday

decorations in. Find the surface area of

the box. 1,689.4 in2

40 in.

4. SOCCER BALL Sarai wrapped a soccer

ball in a box in the shape of a square

pyramid. The box has a base with

sides 12 inches and a slant height of

20 inches. How many square inches of

cardboard were used to make the

box? 624 in2

24 in.

area of base

249.4 in2

5. MOBILE Gemma made a mobile to hang

over her brother¡¯s crib. She put each

animal on the mobile in a clear plastic

case. The shape of one case was an

equilateral triangular pyramid as

shown. Find the surface area of the

pyramid. 13.7 in2

6. MOBILE Another clear plastic case on

the mobile in Exercise 5 is in the shape

of a square pyramid. The sides of the

square base are each 2 inches and the

slant height is 4 inches. Find the

surface area of this case. 20 in2

4 in.

2 in.

2 in.

2 in.

area of

base 1.7 in2

134

Course 2 ? Chapter 8 Measure Figures

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

24 in.

24 in.

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