Name ________________________________ Date __________________ Class _________________

Practice A Volume of Prisms

Find the volume of each rectangular prism. 1. 2. 3.

_______________________ ________________________ ________________________

4. 5. 6.

_______________________ ________________________ ________________________

Find the volume of each triangular prism. 7. 8. 9.

_______________________ ________________________ ________________________

10. A triangular prism and a rectangular prism have the same lengths, heights, and widths. Which prism has the greater volume?

________________________________________________________________________________________

11. Tim made a toy chest for his little sister’s square building blocks. If 6 layers of blocks can fit in the box, and each layer has 15 blocks, how many building blocks can the toy chest hold in all?

________________________________________________________________________________________

LESSON 10-7

Name ________________________________ Date __________________ Class _________________

Practice B Volume of Prisms

Find the volume of each rectangular prism. 1. 2. 3.

_______________________ ________________________ ________________________

4. 5. 6.

_______________________ ________________________ ________________________

Find the volume of each triangular prism. 7. 8. 9.

_______________________ ________________________ ________________________

10. Fawn built a sandbox that is 6 feet long, 5 feet wide, and 12 foot

tall. How many cubic feet of sand does she need to fill the box?

________________________________________________________________________________________

11. Unfinished lumber is sold in units called board feet. A board foot is the volume of lumber contained in a board 1 inch thick, 1 foot wide, and 1 foot long. How many cubic inches of wood are in 1 board foot?

________________________________________________________________________________________

LESSON 10-7

Name ________________________________ Date __________________ Class _________________

Practice C Volume of Prisms

Find the volume of each rectangular prism. 1. 2. 3.

_______________________ ________________________ ________________________

Find the volume of each triangular prism. 4. 5. 6.

_______________________ ________________________ ________________________

Find the missing measurement for each rectangular prism.

7. ! = ? ; = 34 m; h = 5 m; V = 340 m3 ________________

8. ! = 4.5 ft; = ? ; h = 6 ft; V = 256.5 ft3 ________________

9. ! = 14 yd; = 8 yd; h = ? ; V = 1,344 yd3 ________________

10. ! = ? ; = 1 12 in.; h = 3 12 in.; V = 52 12 in3 ________________

11. A rectangular prism’s base is 8 feet long. It is 2 12 times taller

than it is long and 12 as wide as it is tall. What is the volume

of that prism? _________________ 12. A rectangular box is 3 feet wide, 6 feet long, and 4 feet tall.

Inside the box, Phil placed a triangular prism that is 3 feet tall, and has a base 2 feet wide with a height of 5 feet. If he places another triangular prism of the same size in the box, how much empty space will there be in the box? _________________

LESSON 10-7

Name ________________________________ Date __________________ Class _________________

Review for Mastery Volume of Prisms

Volume is the number of cubic units needed to fill a space. To find the volume of a rectangular prism, first find the area of the base.

length = 3 units width = 2 units A = ! = 3 • 2 = 6 square units.

The area of the base tells you how many cubic units are in the first layer of the prism.

Next, multiply the result by the number of layers in the prism. The prism has 4 layers, so multiply 6 by 4.

6 • 4 = 24

So, the volume of the rectangular prism is 24 cubic units.

Find the volume of each rectangular prism. 1. 2.

_______________________________________ ________________________________________

To find the area of a triangular prism, first find the area of the base. A = 12 bh

= 12 (5 • 4)

= 10 square units Then multiply the result by the height of the prism.

10 • 3 = 30 The volume of the triangular prism is 30 cubic units.

Find the volume of each triangular prism. 3. 4.

_______________________________________ ________________________________________

LESSON 10-7

Name ________________________________ Date ___________________ Class __________________

Challenge 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.

Volume of Tank: ____________________ Volume of Tank: ____________________

Gallons of Water: ____________________ Gallons of Water: ____________________

Fish: ____________________ Fish: ____________________

Volume of Tank: ____________________ Volume of Tank: ____________________

Gallons of Water: ____________________ Gallons of Water: ____________________

Fish: ____________________ Fish: ____________________

LESSON 10-7

Name ________________________________ Date __________________ Class _________________

Problem Solving Volume of Prisms

Write the correct answer. 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?

_______________________________________

_______________________________________

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?

_______________________________________

2. The Vietnam Veterans Memorial in Washington, D.C., is a 493.5-foot- long 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?

_______________________________________

_______________________________________

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?

_______________________________________

Circle the letter of the correct answer. 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

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.

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

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

LESSON 10-7

Name ________________________________ Date __________________ Class _________________

Reading Strategies Analyze Information

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. How many cubes long is the first layer? _________________________

2. How many cubes wide is the first layer? _________________________

3. How many cubes are in the first layer? _________________________

Now look at the next layer of cubes.

4. How many cubes long is the top layer? _________________________

5. How many cubes wide is the top layer? _________________________

6. How many cubes are in the top layer? _________________________

7. What is the total number of cubes in both layers? _________________________

8. What is the total volume of the rectangular prism? _________________________

LESSON 10-7

Name ________________________________ Date __________________ Class _________________

Puzzles, Twisters & Teasers 3D Match

Find the volume of each of the prisms below. Draw a line to the correct answer. Rearrange the answer letters to solve the riddle. 1.

2.

3.

4.

5.

What grows the more you take away?

_____________________________________________________________________________________________

LESSON 10-7

L 297 cm3 C 148.5 cm3 G 43 cm3 H 96 cm3 A 19 cm3

M 161.5 cm3 O 80.75 cm3 S 30.25 cm3 E 1120 cm3 K 560 cm3

Name ________________________________ Date __________________ Class _________________

CODE

61007 Answers

LESSON 10-7

Practice A 1. V = 27 in3 2. V = 24 ft3 3. V = 960 yd3 4. V = 210 m3 5. V = 125 cm3 6. V = 540 yd3 7. V = 60 cm3 8. V = 27 in3 9. V = 80 m3

10. the rectangular prism 11. 90 building blocks

Practice B 1. 857.375 in3 2. 1,800 ft3 2. 6,800 yd3 4. 231.556 m3 5. 980 yd3 6. 3,511.808

cm3 7. 910 cm3 8. 73.5 ft3 9. 22,500 in3 10. 15 ft3 11. 144 cubic inches of wood

Practice C

1. 274 5

8 in3 2. 0.48 m3

3. 98 9

32 ft3 4. 1,137.4425

cm3

5. 17 119

128 ft3 6. 0.02275 m3

7. 2 m 8. 9.5 ft 9. 12 yd 10. 10 in. 11. 1,600 ft3 12. 42 ft3

Review for Mastery 1. 16 square units 2. 30 square

units

3. 16 square units 4. 15 square units

Challenge 5,760 in3; about 25; koi goldfish 2,970 in3; about 13; clown loach 1,170 in3; about 5; redtail shark 1,600 in3; about 7; angelfish

Problem Solving 1. about 586,491,840 ft3 of concrete 2. about 1,110.375 ft3 of black granite 3. 1.56 cm3 of benitoite 4. 9.375 in3 of bronze 5. D 6. H 7. B 8. J

Reading Strategies 1. 4 cubes 2. 3 cubes 3. 12 cubes 4. 4 cubes 5. 3 cubes 6. 12 cubes 7. 24 cubes 8. 24 cubic units

Puzzles, Twisters & Teasers

A HOLE