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Main Idea/Vocabulary

Find the lateral and total surface areas of prisms and cylinders. lateral face. lateral surface area total surface area. Main Idea/Vocabulary. Interactive Lab: Surface Area of Prisms. KC. Surface Areas of a Prism. Find the lateral and total surface area of the rectangular prism.

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Main Idea/Vocabulary

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  1. Find the lateral and total surface areas of prisms and cylinders. • lateral face • lateral surface area • total surface area Main Idea/Vocabulary

  2. Interactive Lab:Surface Area of Prisms KC

  3. Surface Areas of a Prism Find the lateral and total surface area of the rectangular prism. Perimeter of Base Area of Base P = 2ℓ+ 2w B = ℓw P = 2(15) + 2(9) or 48 B = 15(9) or 135 Example 1

  4. Surface Areas of a Prism Use this information to find the lateral and total surface area. Lateral Surface Area Total Surface Area L = Ph S = L + 2B L = 48(7) or 336 S = 336 + 2(135) or 606 Answer: The lateral surface area is 336 square millimeters, and the total surface area is 606 square millimeters. Example 1

  5. A B C D Find the total surface area of the rectangular prism. A. 112 cm2 B. 126 cm2 C. 130 cm2 D. 142 cm2 Example 1

  6. Surface Areas of a Prism CAMPING A family wants to reinforce the fabric of its tent with a waterproofing treatment. Find the total surface area, including the floor, of the tent below. A triangular prism consists of two congruent triangular faces and three rectangular faces. Example 2

  7. Surface Areas of a Prism Draw and label a net of this prism. Find the area of each face. bottom 5 ● 5.8 = 29 left side 6.3 ● 5.8 = 36.54 right side 6.3 ● 5.8 = 36.54 two bases Add to find the total surface area. 29 + 36.54 + 36.54 + 29 = 131.08 Answer: The surface area of the tent is about 131.1 square feet. Example 2

  8. A B C D DECORATING Julia is painting triangular prisms to use as decoration in her garden. Find the surface area of the prism. A. 85.5 in2 B. 90.2 in2 C. 93.1 in2 D. 108.4 in2 Example 2

  9. KC

  10. Surface Areas of Cylinders Find the lateral area and the surface area of the cylinder. Round to the nearest tenth. Lateral Surface Area Total Surface Area L = 2πrh L = 2π(2.5)(2) S = L + 2πr2 S = 3.14 + 2π(2.5)2 Answer: The lateral surface area is about 31.4 square meters, and the total surface area is about 70.7 square meters. Example 3

  11. A B C D Find the total surface area of the cylinder. Round to the nearest tenth. A. 176.4 mm2 B. 188.7 mm2 C. 207.3 mm2 D. 245.1 mm2 Example 3

  12. Surface Areas of Cylinders LABELSFind the area of the label on the can of juice. Round to the nearest tenth. Since the label covers the lateral surface of the can, you only need to find the can’s lateral surface area. Example 4

  13. 113.1 Surface Areas of Cylinders Estimate L = 2πrh Lateral surface area of a cylinder L = 2π(2.25)(8) r = 2.25, h = 8 Simplify. Answer: The area of the label is about 113.1 square inches. Example 4

  14. A B C D LABELS Find the area of the label on the can of juice. Round to the nearest tenth. A. 132.9 in2 B. 155.5 in2 C. 164.4 in2 D. 185.2 in2 Example 4

  15. A B C D (over Lesson 7-6) Find the volume of the given solid. Round to the nearest tenth if necessary. A.15 m3 B.20 m3 C.40 m3 D.60 m3 Five Minute Check 1

  16. A B C D (over Lesson 7-6) Find the volume of the given solid. Round to the nearest tenth if necessary. A.1,026.3 ft3 B.1,539.1 ft3 C.2,931.6 ft3 D.3,078.2 ft3 Five Minute Check 2

  17. A B C D (over Lesson 7-6) Find the volume of the given solid. Round to the nearest tenth if necessary. A.35 cm3 B.50 cm3 C.70 cm3 D.105 cm3 Five Minute Check 3

  18. A B C D (over Lesson 7-6) Find the volume of a triangular pyramid if the triangle base has base 6.5 yd and height 2.25 yd, and the prism height is 5.75 yd. Round to the nearest tenth if necessary. A.14.0 yd3 B.28.0 yd3 C.42.0 yd3 D.84.0 yd3 Five Minute Check 4

  19. A B C D (over Lesson 7-6) Ricky bought a box of ice cream cones. Ricky wants to know how much ice cream each cone can hold. If each cone has a diameter of 3 inches and a height of 5 inches, what is the approximate volume of each cone? A.7.9 in3 B.11.8 in3 C.35.3 in3 D.39.3 in3 Five Minute Check 5

  20. End of Custom Shows

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