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

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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

Find the volume of the pyramid. B. 72 m3 C. 80 m3 D. 120 m3 A B C D Example 1

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

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

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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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

Find the volume of the cone. Round to the nearest tenth. A. 28.5 in3 B. 29.2 in3 C. 34.1 in3 D. 37.7 in3 A B C D Example 3

(over Lesson 7-5) Find the volume of the given solid. Round to the nearest tenth if necessary. A. 254.8 in3 B. 382.2 in3 C. 441.6 in3 D. 764.5 in3 A B C D Five Minute Check 1

(over Lesson 7-5) Find the volume of the given solid. Round to the nearest tenth if necessary. A. 25.5 cm3 B. 51 cm3 C. 76.5 cm3 D. 153 cm3 A B C D Five Minute Check 2

(over Lesson 7-5) Find the volume of the given solid. Round to the nearest tenth if necessary. A. 91.1 ft3 B. 45.6 ft3 C. 20.1 ft3 D. 13.5 ft3 A B C D Five Minute Check 3

(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 A B C D Five Minute Check 4

(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. 199.9 m3 B. 99.9 m3 C. 67.8 m3 D. 33.9 m3 A B C D Five Minute Check 5

(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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