main idea/vocabulary cone find the volumes of pyramids and cones

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cone Find the volumes of pyramids and cones.

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Page 1: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

• cone

• Find the volumes of pyramids and cones.

Page 3: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

Find the Volume of a Pyramid

Find the volume of the pyramid.

Answer: The volume is 140 cubic centimeters.

Volume of a pyramid

Simplify.

B = 7 ● 3, h = 20

Page 4: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D0% 0%0%0%

A. 60 m3

B. 72 m3

C. 80 m3

D. 120 m3

Find the volume of the pyramid.

Page 5: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

SOUVENIRS A novelty souvenir company wants to make snow “globes” shaped like pyramids. It decides that the most cost-effective maximum volume of water for the pyramids is 12 cubic inches. If a pyramid measures 4 inches in height, find the area of its base.

Volume of a pyramid

Replace V with12 and h with 4.

Page 6: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

Simplify.

Answer: The area of the base of the snow globe is 9 square inches.

Page 7: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 6 in.

B. 6.5 in.

C. 7 in.

D. 7.5 in.

TOYS A company is designing pyramid shaped building blocks with a square base. They want the volume of the blocks to be 18 square inches. If the length of the side of the base is 3 inches, what should be the height of the blocks?

Page 9: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

Find the Volume of a Cone

Find the volume of the cone. Round to the nearest tenth.

Answer: The volume is about 18.8 cubic meters.

Volume of a cone

Replace r with1.5 and h with 8.

Simplify.

Page 10: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D0% 0%0%0%

A. 28.5 in3

B. 29.2 in3

C. 34.1 in3

D. 37.7 in3

Find the volume of the cone. Round to the nearest tenth.

Page 11: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 254.8 in3

B. 382.2 in3

C. 441.6 in3

D. 764.5 in3

Find the volume of the given solid. Round to the nearest tenth if necessary.

(over Lesson 7-5)

Page 12: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 25.5 cm3

B. 51 cm3

C. 76.5 cm3

D. 153 cm3

Find the volume of the given solid. Round to the nearest tenth if necessary.

(over Lesson 7-5)

Page 13: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D0% 0%0%0%

A. 91.1 ft3

B. 45.6 ft3

C. 20.1 ft3

D. 13.5 ft3

Find the volume of the given solid. Round to the nearest tenth if necessary.

(over Lesson 7-5)

Page 14: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 7-5)

The base of the triangle of a triangular prism is 3

yd, the altitude is 5 yd, and the height is 9 yd.

Find the volume of the triangular prism. Round to

the nearest tenth if necessary.

A. yd3 B. yd3

C. yd3 D. yd3

Page 15: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D0% 0%0%0%

A. 199.9 m3

B. 99.9 m3

C. 67.8 m3

D. 33.9 m3

Find the volume of a rectangular prism if the length is 4.6 m, width is 8.2 m, and height is 5.3 m. Round to the nearest tenth if necessary.

(over Lesson 7-5)

Page 16: Main Idea/Vocabulary cone Find the volumes of pyramids and cones

1. A

2. B

3. C

4. D0% 0%0%0%

A. 4 mm

B. 9 mm

C. 10 mm

D. 11 mm

The volume of a rectangular prism is 440 mm3. If the length is 8 mm and the height is 5 mm, what is the width?

(over Lesson 7-5)

Page 17: Main Idea/Vocabulary cone Find the volumes of pyramids and cones