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
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24 in.
24 in.