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**Find the volumes of pyramids and cones.**

Main Idea/Vocabulary

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KC

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**Find the Volume of a Pyramid**

Find the volume of the pyramid. Volume of a pyramid B = 7 ● 3, h = 20 Simplify. Answer: The volume is 140 cubic centimeters. Example 1

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**Find the volume of the pyramid.**

B. 72 m3 C. 80 m3 D. 120 m3 A B C D Example 1

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**Replace V with12 and h with 4.**

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. Example 2

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

Simplify. Answer: The area of the base of the snow globe is 9 square inches. Example 2

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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? A. 6 in. B. 6.5 in. C. 7 in. D. 7.5 in. A B C D Example 2

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KC

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**Find the Volume of a Cone**

Find the volume of the cone. Round to the nearest tenth. Volume of a cone Replace r with1.5 and h with 8. Simplify. Answer: The volume is about 18.8 cubic meters. Example 3

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

A in3 B in3 C in3 D in3 A B C D Example 3

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(over Lesson 7-5) Find the volume of the given solid. Round to the nearest tenth if necessary. A in3 B in3 C in3 D in3 A B C D Five Minute Check 1

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(over Lesson 7-5) Find the volume of the given solid. Round to the nearest tenth if necessary. A cm3 B. 51 cm3 C cm3 D. 153 cm3 A B C D Five Minute Check 2

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(over Lesson 7-5) Find the volume of the given solid. Round to the nearest tenth if necessary. A ft3 B ft3 C ft3 D ft3 A B C D Five Minute Check 3

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(over Lesson 7-5) The base of the triangle of a triangular prism is 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 A B C D Five Minute Check 4

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(over Lesson 7-5) 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. A m3 B m3 C m3 D m3 A B C D Five Minute Check 5

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(over Lesson 7-5) 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? A. 4 mm B. 9 mm C. 10 mm D. 11 mm A B C D Five Minute Check 6

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