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Lesson 4 Menu

Find the surface area of a cylinder with r = 10 and h = 6. Round to the nearest tenth. Find the surface area of a cylinder with r = 4.5 and h = 6.3. Round to the nearest tenth. 3. Find the surface area of the cylinder shown to the nearest tenth.

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Lesson 4 Menu

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  1. Find the surface area of a cylinder with r = 10 and h = 6. Round to the nearest tenth. • Find the surface area of a cylinder with r = 4.5 and h = 6.3. Round to the nearest tenth. 3. Find the surface area of the cylinder shown to the nearest tenth. 4. What is the height of a cylinder with radius of 4 centimeters and surface area of 80 square centimeters? Lesson 4 Menu

  2. Find lateral areas of regular pyramids. • Find surface areas of regular pyramids. • regular pyramid • slant height Lesson 4 MI/Vocab

  3. Lesson 4 KC1

  4. We need to find the lateral area of the square pyramid. The sides of the base measure 6 centimeters, so the perimeter is Find Lateral Area CANDLES A candle store offers a pyramidal candle that burns for 20 hours. The square base is 6 centimeters on a side and the slant height of the candle is 22 centimeters. Find the lateral area of the candle. Lesson 4 Ex1

  5. Find Lateral Area Lateral area of a regular pyramid Multiply. Answer: The lateral area of the candle is 264 square centimeters. Lesson 4 Ex1

  6. CAMPING A tent in the shape of a pyramid is put up by two campers. The square base is 7 feet on a side and the slant height of the tent is 7.4 feet. Find the lateral area of the tent. • A • B • C • D A. 25.9 ft2 B. 51.8 ft2 C. 103.6 ft2 D. 207.2 ft2 Lesson 4 CYP1

  7. Lesson 4 KC2

  8. Surface Area of a Square Pyramid Find the surface area of the square pyramid. Round to the nearest tenth if necessary. To find the surface area, first find the slant height of the pyramid. The slant height is the hypotenuse of a right triangle with legs that are the altitude and a segment with a length that is one-half the side measure of the base. Lesson 4 Ex2

  9. Now find the surface area of a square pyramid. The perimeter of the base is and the area of the base is Surface Area of a Square Pyramid Pythagorean Theorem Simplify. Lesson 4 Ex2

  10. Surface Area of a Square Pyramid Surface area of a square pyramid Use a calculator. Answer: The surface area is 179.4 square meters to the nearest tenth. Lesson 4 Ex2

  11. Find the surface area of the square pyramid to the nearest tenth. • A • B • C • D A. 73.8 m2 B. 89.8 m2 C. 163.5 m2 D. 696 m2 Lesson 4 CYP2

  12. Surface Area of a Regular Pyramid Find the surface area of the regular pyramid. Round to the nearest tenth. The altitude, slant height, and apothem form a right triangle. Use the Pythagorean Theorem to find the apothem. Let x represent the length of the apothem. Lesson 4 Ex3

  13. Now find the length of the sides of the base. The central angle of the hexagon measures Let a represent the measure of the angle formed by a radius and the apothem. Surface Area of a Regular Pyramid Pythagorean Theorem Simplify. Lesson 4 Ex3

  14. Surface Area of a Regular Pyramid Use trigonometry to find the length of the sides. Multiply each side by 9. Multiply each side by 2. Use a calculator. Lesson 4 Ex3

  15. Surface Area of a Regular Pyramid Next, find the perimeter and area of the base. Lesson 4 Ex3

  16. Surface Area of a Regular Pyramid Finally, find the surface area. Surface area of a regular pyramid Simplify. Answer: The surface area is approximately 748.2 square centimeters. Lesson 4 Ex3

  17. Find the surface area of the regular pentagonal pyramid. • A • B • C • D A. 236.1 cm2 B. 326.9 cm2 C. 90.8 cm2 D. 417.7 cm2 Lesson 4 CYP3

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