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NAME ______________________________________________ DATE
____________ PERIOD _____
12-4 Skills Practice
Surface Areas of Pyramids
Find the surface area of each regular pyramid. Round to the nearest tenth if
necessary.
1.
2.
20 in.
7 cm
8 in.
4 cm
3.
4.
12 ft
9m
14 ft
5.
6.
9 mm
7 yd
6 yd
6 mm
7.
Lesson 12-4
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10 m
8.
12 m
20 in.
18 m
Chapter 12
16 in.
31
Glencoe Geometry
NAME ______________________________________________ DATE
____________ PERIOD _____
12-4 Word Problem Practice
Surface Areas of Pyramids
1. PAPER MODELS Patrick is making a
paper model
of a castle.
Part of the
model
involves
20 cm
20 cm
cutting out
15 cm
the net
shown and
folding it
into a
pyramid. The pyramid has a square
base. What is the lateral surface area of
the resulting pyramid?
4. DICE A game needs random numbers
between 1 and 8, inclusive. For that
reason, the game uses a die in the shape
of a regular octahedron. (A regular
octahedron can be made by attaching
two square pyramids together along
their bases.) The lateral faces are
congruent equilateral triangles with side
length 2 centimeters. What is the
surface area of the die?
Round your answer to the nearest
hundredth.
CHEESE For Exercises 5 and 6, use the
following information.
A piece of goat cheese is sold in the shape of
a square pyramid. The base has a side
length of 4 inches and the altitude is 3
inches. Round your answers to the nearest
hundredth.
3. PAPERWEIGHTS Daphne uses a
paperweight shaped like a pyramid with
a regular hexagon for a base. The side
length of the regular hexagon is 1 inch.
The altitude of the pyramid is 2 inches.
5. Caroline cuts off the tip of the cheese by
slicing the pyramid along a plane
parallel to the base resulting in a
smaller square pyramid with an altitude
of 1 inch. What is the surface area of
this cheese tip?
What is the lateral surface area of this
pyramid? Round your answers to the
nearest hundredth.
Chapter 12
6. What is the surface area of the
remaining part of the cheese?
33
Glencoe Geometry
Lesson 12-4
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. TETRAHEDRON Sung Li builds a
paper model of a regular tetrahedron, a
pyramid with an equilateral triangle for
the base and three equilateral triangles
for the lateral faces. One of the faces of
the tetrahedron has an area of 17 square
inches. What is the total surface area of
the tetrahedron?