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Main Idea/Vocabulary cone Find the volumes of pyramids and cones.

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KC

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Example 1 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

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1.A 2.B 3.C 4.D Example 1 A.60 m 3 B.72 m 3 C.80 m 3 D.120 m 3 Find the volume of the pyramid.

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Example 2 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.

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

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1.A 2.B 3.C 4.D Example 2 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?

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KC

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Example 3 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.

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1.A 2.B 3.C 4.D Example 3 A.28.5 in 3 B.29.2 in 3 C.34.1 in 3 D.37.7 in 3 Find the volume of the cone. Round to the nearest tenth.

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1.A 2.B 3.C 4.D Five Minute Check 1 A in 3 B in 3 C in 3 D in 3 Find the volume of the given solid. Round to the nearest tenth if necessary. (over Lesson 7-5)

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1.A 2.B 3.C 4.D Five Minute Check 2 A.25.5 cm 3 B.51 cm 3 C.76.5 cm 3 D.153 cm 3 Find the volume of the given solid. Round to the nearest tenth if necessary. (over Lesson 7-5)

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1.A 2.B 3.C 4.D Five Minute Check 3 A.91.1 ft 3 B.45.6 ft 3 C.20.1 ft 3 D.13.5 ft 3 Find the volume of the given solid. Round to the nearest tenth if necessary. (over Lesson 7-5)

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1.A 2.B 3.C 4.D Five Minute Check 4 (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. yd 3 B. yd 3 C. yd 3 D. yd 3

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1.A 2.B 3.C 4.D Five Minute Check 5 A m 3 B.99.9 m 3 C.67.8 m 3 D.33.9 m 3 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)

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1.A 2.B 3.C 4.D Five Minute Check 6 A.4 mm B.9 mm C.10 mm D.11 mm The volume of a rectangular prism is 440 mm 3. If the length is 8 mm and the height is 5 mm, what is the width? (over Lesson 7-5)

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