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Chapter 10: Worksheet
Surface Area
Honors Geometry
Mr. Ferwerda
In problems 1-14, a figure is described.
1.
3.
5.
7.
a box with length 12 in., width 7 in.,
and height 8 in.
Name:
a. Give its lateral area.
b. Give its surface area.
2.
a right cylinder with base radius of 5 cm
and height of 8.5 cm
a. LA =
a. LA =
b. SA =
b. SA =
a right pentagonal prism with base area
area 72 mm2, base perimeter 32 mm,
and height 35 mm
4.
a right cylinder with base circumference of
18π feet and height of 10 feet
a. LA =
a. LA =
b. SA =
b. SA =
a cube with edge of 3 yd
6.
a cube with edge of e
a. LA =
a. LA =
b. SA =
b. SA =
right cylinder
8.
right triangle prism
a. LA =
a. LA =
b. SA =
b. SA =
Chapter 10: Surface Areas Worksheet
9.
11.
13.
a regular square pyramid with slant height
of 2 yd. and base edge of 1 yd.
page 2
10.
A right cone with base radius of 6 cm
and slant height of 9 cm
a. LA =
a. LA =
b. SA =
b. SA =
a regular square pyramid with slant height
of 5 in. and base area of 49 in.2
12.
a right cone with base circumference of
14π feet and slant height of 8 feet
a. LA =
a. LA =
b. SA =
b. SA =
a regular triangular
pyramid with base
edge of 10 cm and
slant height 13 cm
14.
a right cone with
base radius of
8 cm and
height of 14 cm
a. LA =
a. LA =
b. SA =
b. SA =
Chapter 10: Surface Areas Worksheet
page 3
In problems 15-19, answer the questions.
15.
A section of concrete sewer pipe is 4 ft in diameter and 8 ft long. Find the lateral area of the pipe.
16.
A gift box measures 40 in. by 28 in. by 12 in. Can the box be completely covered by a 30-ft2 roll
of wrapping paper? Why or why not?
17.
Refrigerated biscuit dough comes in a cylindrical can with diameter 2.5 in. and height 8 in. The
bases are aluminum and the lateral face is cardboard.
a. How many square inches of aluminum are used?
b. How many square inches of cardboard are used?
18.
Find the surface area of a regular hexagonal pyramid with a slant height of 12 cm and a base edge
of 8 cm.
19.
The slant height of a regular square pyramid is 20 mm and its lateral area is 560 mm2.
a. What is the length of a base edge?
b. What is the total surface area of the pyramid?
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