Name ________________________________________ Date __________________ Class__________________
LESSON
13-1
Volume and Surface Area
Problem Solving: Volume of Prisms and Cylinders
Write the correct answer.
1. The eight Corinthian columns at the
National Building Museum in
Washington, DC, are each 75 feet
high and 8 feet in diameter. What is
the volume of each column?
2. A cubic centimeter holds 1 milliliter of
liquid. How many liters of water to the
nearest tenth are required to fill a fish
tank that is 24 centimeters high,
28 centimeters long, and
36 centimeters wide?
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3. There are 231 cubic inches in a
gallon. A large juice can has a
diameter of 6 inches and a height of
10 inches. How many gallons of juice
does the can hold? Round your
answer to the nearest tenth.
4. A small gift box that holds a ring is
shaped like a cube. The box
measures 1.4 inches on each side.
What is the volume of the gift box?
Round your answer to the nearest
tenth.
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Choose the letter of the correct answer.
A about 3.5 m
C about 15 m
F 12 bricks
H 197 bricks
B about 7 m
D about 20 m
G 54 bricks
J 384 bricks
8. A cylindrical barrel is 2.8 feet in
diameter and 8 feet high. If a cubic
foot holds about 7.5 gallons of liquid,
how many gallons of water will this
barrel hold?
7. The average stone on the lowest
level of the Great Pyramid in Egypt
was a rectangular prism 5 feet long
by 5 feet high by 6 feet deep and
weighed 15 tons. What was the
volume of the average stone?
A 1,800 ft3
C 150 ft3
2
2
B 1,800 ft
D 150 ft
F about 1,477 gal
G about 369 gal
H about 150 gal
J about 470 gal
13-6
Holt McDougal Mathematics
© Houghton Mifflin Harcourt Publishing Company
6. A bricklayer is building a brick
rectangular post to anchor a mailbox.
The post is 3 feet tall, 2 feet deep, and
2 feet wide. Each brick is 3 inches by
6 inches by 3 inches. How many bricks
does he need?
5. The Leaning Tower of Pisa in Italy
appears to be cylindrical in shape.
Its height is about 56 meters. If the
volume of the tower is about
9,891 cubic meters, what is the
diameter of the base?
UNIT 5 Geometry
Module 13
3. 27 cubes
Answers for Lesson 13-1
4. 8 cubes; 12 cubes; 6 cubes; 1 cube
5. 64 cubes
Practice A
6. 8 cubes; 24 cubes; 24 cubes; 8 cubes
1. D
2. H
3. C
4. G
5. 1,809 cm3
6. 823.6 ft3
7. 312 cm3
8. 135 cm3
7.
Painted on Painted on Painted on Painted on
Practice B
1. 180 in
3
2. 225 yd
3. 57.498 in
3
4. 729 in
3
3
5. 357.5 cm3
6. 1,053 m3
7. 953.8 cm3
8. 1,538 in3
9. 2,984.3 m3
10. 3,886 cm3
3. 335.8 m
5. 13.0 m
3
3
7. 176.6 in
9. 240 in3
© Houghton Mifflin Harcourt Publishing Company
3
6. 20.2 cm
3
11. 548.9 yd3
3
8. 12 cm
0 Faces
8
0
0
0
8
12
6
1
8
24
24
8
8
36
54
27
1. 3,768 ft3
2. 24.2 L
3. 1.2 gal
4. 2.7 in3
5. C
6. J
7. C
8. G
Reading Strategies
10. 1,240.5 cm3
12. 780.7 ft3
Review for Mastery
1. 3 units
2. 2 units
3. 3 units
4. 18 cubic units
5. 4 units; 2 units
6. 3 units
7. 4 • 2 • 3  24 cubic units
1. 6
2. 3
3. 18
4. triangle
5. 6; 3; 9
6. 5
7. 9; 5; 45
8. circle
9. 4; 50
11. 50; 3; 150
1 Face
Problem Solving
2. 477.8 cm3
4. 53.9 ft
2 Faces
8. always 8
Practice C
1. 124.4 in3
3 Faces
Puzzles, Twisters & Teasers
10. 3
1. P
2. Y
3. U
4. O
5. E
6. C
7. M
8. R
9. K
Challenge
Y O U
1. 8 cubes
M E
2. 8 cubes; 0 cubes; 0 cubes; 0 cubes
A-61
C R A C K
U P
Holt McDougal Mathematics