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# Surface Area

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### Surface Area

1. 1. SURFACE AREA
2. 2. SURFACE AREA | defined as the sum of the areas of the outer surfaces of a solid. These outer surfaces are called faces.
3. 3. SURFACE AREA | sum of the lateral faces and the bases facelateraltheofABasetheofASA
4. 4. Surface Area of a Cube
5. 5. | The surface area (SA) of a cube of side s is given by 2 6sSA
6. 6. Example 1 | Find the surface area of a cube with a side of length 5 cm..
7. 7. Example 2 | If the surface area of a cube is 216 cm2, determine the measurement of the side of the cube.
8. 8. Surface area of a RECTANGULAR PRISM
9. 9. | The SA of a rectangular prism of length l, width w, and height h is given by hlhwlwSA 222
10. 10. Example 1 | Find the surface area of a rectangular prism whose length is 7 cm, width is 4 cm, and height is 5 cm.
11. 11. Surface area of a RIGHT SQUARE PYRAMID
12. 12. | The SA of a right square pyramid w/ base of side s and slant height l is given by 2 42 ls sSA
13. 13. Example 1 | Find the SA of a right square pyramid w/ base of side 3cm and slant height of 5 cm.
14. 14. Surface area of a RIGHT CIRCULAR CYLINDER
15. 15. | The SA of a right circular cylinder of radius r and height h is given by OR rhrSA 22 2 hrrSA 2
16. 16. Example 1 | Find the SA of a right circular cylinder which has a height of 20cm and a base radius of 5cm.
17. 17. Surface area of a RIGHT CIRCULAR CONE
18. 18. | The SA of a right circular cone of radius r and slant height l is given by rlrSA 2
19. 19. Example 1 | Find the SA of a right circular cone if the radius of its base is 3.5 cm and its slant height is 7.25 cm.
20. 20. Surface area of a SPHERE
21. 21. | The SA of sphere of radius r is given by 2 4 rSA
22. 22. Example 1 | What is the surface area of a ball with a radius of 6 cm?