Lesson 7 Problem-Solving Practice

[Pages:2]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.

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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.

108 ft2

2. TENT The Summers children are camping out in the tent shown. Find

the lateral area of the tent. 216 ft2

9 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.

12 ft

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.

24 in.

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

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

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4 in.

2 in.

2 in.

2 in.

area of base 1.7 in2

Course 2 ? Chapter 8 Measure Figures

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