Name
LESSON
Date
Class
Challenge
10-8 Fish Tank Math
Did you know that most fish grow according to the size of their
tank? In fact, a freshwater fish needs about 1 gallon of water for
every inch of its body. The volume of 1 gallon of water is about
231 in3. So, a fish tank with a volume of a 700 in3 will hold
700 231 3 gallons of water. This size tank would be the
healthiest home for a 3-inch-long fish.
Find the volume of each fish tank. Then match each fish to the
best tank for it.
Angelfish
6 in.
Koi Goldfish
24 in.
Redtail Shark
5 in.
24 in.
w 12 in.
h 20 in.
18 in.
w 15 in.
h 11 in.
Volume of Tank:
Volume of Tank:
Gallons of Water:
Gallons of Water:
Fish:
Fish:
13 in.
w 10 in.
h 9 in.
25 in.
w 8 in.
h 8 in.
Volume of Tank:
Volume of Tank:
Gallons of Water:
Gallons of Water:
Fish:
Fish:
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Clown Loach
12 in.
69
Holt Mathematics
Problem Solving
LESSON
10-8 Volume of Prisms
Challenge
LESSON
10-8 Fish Tank Math
Write the correct answer.
Did you know that most fish grow according to the size of their
tank? In fact, a freshwater fish needs about 1 gallon of water for
every inch of its body. The volume of 1 gallon of water is about
231 in3. So, a fish tank with a volume of a 700 in3 will hold
700 231 3 gallons of water. This size tank would be the
healthiest home for a 3-inch-long fish.
2. The Vietnam Veterans Memorial in
Washington, D.C., is a 493.5-footlong wall made of polished black
granite engraved with the names of
soldiers who died in the war. The wall
is 0.25 feet thick and has an average
height of 9 feet. About how many
cubic feet of black granite was used
in the Vietnam Veterans Memorial?
1. At 726 feet tall, Hoover Dam is one
of the world’s largest concrete dams.
In fact, it holds enough concrete to
pave a two-lane highway from New
York City to San Francisco! The dam
is shaped like a rectangular prism
with a base 1,224 feet long and
660 feet wide. About how much
concrete forms Hoover Dam?
Find the volume of each fish tank. Then match each fish to the
best tank for it.
about 586,491,840 ft3 of
Angelfish
6 in.
Koi Goldfish
24 in.
Redtail Shark
5 in.
24 in.
w 12 in.
h 20 in.
koi goldfish
Fish:
clown loach
25 in.
w 8 in.
h 8 in.
1,170 in3
Gallons of Water:
redtail shark
Fish:
about 7
angelfish
69
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1,600 in3
Volume of Tank:
about 5
Gallons of Water:
about 13
Gallons of Water:
13 in.
w 10 in.
h 9 in.
Fish:
4. The Flatiron Building in New York
City is a triangular prism. A solid
bronze souvenir model of the
building is 5 inches tall, with a base
height of 1.5 inches and a base width
of 2.5 inches. How much bronze was
used to make the model?
9.375 in3 of bronze
Circle the letter of the correct answer.
2,970 in3
Volume of Tank:
about 25
Volume of Tank:
granite
3. Benitoite, a triangular prism crystal,
is the official state gem of California.
One benitoite crystal found in
California is 1.2 cm tall, with a base
width of 2 cm and a base height of
1.3 cm. How many cubic centimeters
of benitoite are in that crystal?
1.56 cm3 of benitoite
Gallons of Water:
Fish:
Clown Loach
12 in.
18 in.
w 15 in.
h 11 in.
5,760 in3
Volume of Tank:
about 1,110.375 ft3 of black
concrete
Holt Mathematics
5. Individual slices of pizza are sold in
2-inch-tall triangular prism boxes.
The box base is 8 inches wide, with
a 7-inch height. How many cubic
inches of pizza will fit in each box?
A 112 in3
C 60 in3
B 102 in3
D 56 in3
6. The world’s largest chocolate bar is
a huge rectangular prism weighing
more than a ton! The bar is 9 feet long,
4 feet tall, and 1 foot wide. How many
cubic feet of chocolate does it have?
F 13 ft3
H 36 ft3
G 14 ft3
J 72 ft3
7. A box can hold 175 cubic inches of
cereal. If the box is 7 inches long and
2.5 inches wide, how tall is it?
A 25 in.
B 10 in.
C 17.5 in.
D 9.5 in.
8. A triangular prism used to reflect light
is made of 120 cm3 of glass. If the
prism is 5 centimeters tall, what is the
area of each of its triangular bases?
F 24 cm
G 12 cm
H 12 cm2
J 24 cm2
70
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Puzzles, Twisters & Teasers
LESSON
10-8 3D Match
Reading Strategies
LESSON
10-8 Analyze Information
Find the volume of each of the prisms below. Draw a line to the
correct answer. Rearrange the letters to solve the riddle.
The volume of a prism is the number of cubic units it contains.
Look at the first layer of cubic units in this rectangular prism.
1.
8 cm
4 cm
4
length
3 th
d
wi
L 297 cm3
3 cm
C 148.5 cm3
2.
1. How many cubes long is the first layer?
4 cubes
2. How many cubes wide is the first layer?
3 cubes
3. How many cubes are in the first layer?
12 cubes
3
1
cm
2
G 43 cm3
5
Now look at the next layer of cubes.
H 96 cm3
2 cm
1
cm
2
1
3.
A 194 cm3
2 height
4
length
Holt Mathematics
M 161.5 cm3
11 cm
3 th
d
wi
4. How many cubes long is the top layer?
4 cubes
5. How many cubes wide is the top layer?
3 cubes
6. How many cubes are in the top layer?
12 cubes
7. What is the total number of cubes in both layers?
24 cubes
8. What is the total volume of the rectangular prism?
24 cubic units
O 80.75 cm3
3 cm
9 cm
4.
S 30.25 cm3
3.8 cm
E 1120 cm3
8.5 cm
5 cm
K 560 cm3
5.
8 cm
7 cm
20 cm
What grows the more you take away?
A hole
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
71
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
140
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Holt Mathematics