Warm Up Lesson Presentation Problem of the Day Lesson Quizzes
Warm Up Identify the figure described. 1.  two parallel congruent faces, with the other faces being parallelograms 2.  a p...
Problem of the Day Which figure has the longer side and by  how much: a square with an area of 81 ft 2   or a square with ...
Preview of MA.7.G.2.1  Justify and apply formulas for…surface area of…prisms, pyramids, cylinders… Sunshine State Standards
Vocabulary surface area net
The  surface area  of a three-dimensional figure is the sum of the areas of its surfaces. To help you see all the surfaces...
Additional Example 1A: Finding the Surface Area of a Prism Find the surface area  S  of the prism. Method 1: Use a net. Dr...
Additional Example 1A Continued A :  A  = 5    2 = 10 B :  A  = 12    5 = 60 C :  A  = 12    2 = 24 D :  A  = 12    5 ...
Additional Example 1B: Finding the Surface Area of a Prism Find the surface area  S  of each prism. Method 2: Use a three-...
Additional Example 1B Continued Front : 9    7 = 63 Top :  9    5 = 45 Side :  7    5 = 35 63    2 = 126 45    2 = 90...
Check It Out: Example 1A  Find the surface area  S  of the prism. Method 1: Use a net. Draw a net to help you see each fac...
Check It Out: Example 1A A :  A  = 6    3 = 18 B :  A  = 11    6 = 66 C :  A  = 11    3 = 33 D :  A  = 11    6 = 66 E ...
Check It Out: Example 1B Find the surface area  S  of each prism. Method 2: Use a three-dimensional drawing. 6 cm 10 cm 8 ...
Check It Out: Example 1B Continued Side :  10    8 = 80 Top :  10    6 = 60 Front :  8    6 = 48 80    2 = 160 60    ...
The surface area of a pyramid equals the sum of the area of the base and the areas of the triangular faces. To find the su...
Additional Example 2: Finding the Surface Area of a Pyramid Find the surface area  S  of the pyramid. S  = area of square ...
Check It Out: Example 2 Find the surface area  S  of the pyramid. S  = area of square + 4    (area of triangular face) S ...
The surface area of a cylinder equals the sum of the area of its bases and the area of its curved surface. To find the are...
Additional Example 3: Finding the Surface Area of a Cylinder Find the surface area  S  of the cylinder. Use 3.14 for   , ...
Additional Example 3 Continued Find the surface area  S  of the cylinder. Use 3.14 for   , and round to the nearest hundr...
Check It Out: Example 3 Find the surface area  S  of the cylinder. Use 3.14 for   , and round to the nearest hundredth. S...
Check It Out: Example 3 Continued Find the surface area  S  of the cylinder. Use 3.14 for   , and round to the nearest hu...
Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems
Lesson Quiz Find the surface area of each figure. Use 3.14 for   . 1.  rectangular prism with base length 6 ft, width  5 ...
1. Find the surface area of a rectangular prism with base length 7 ft, width 6 feet, and height 9 ft.  A.  318 ft 2   B.  ...
2. Find the surface area of a cylinder with radius 5 ft and height 8 ft. Use 3.14 for   A.  576.8 ft 2   B.  408.2 ft 2 ...
3. Find the surface area of the figure shown. A.  162 ft 2   B.  152 ft 2 C.  142 ft 2 D.  132 ft 2   Lesson Quiz for Stud...
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Msm1 fl ch09_08

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Msm1 fl ch09_08

  1. 1. Warm Up Lesson Presentation Problem of the Day Lesson Quizzes
  2. 2. Warm Up Identify the figure described. 1. two parallel congruent faces, with the other faces being parallelograms 2. a polyhedron that has a vertex and a face at opposite ends, with the other faces being triangles prism pyramid
  3. 3. Problem of the Day Which figure has the longer side and by how much: a square with an area of 81 ft 2 or a square with perimeter of 84 ft? a square with a perimeter of 84 ft; by 12 ft
  4. 4. Preview of MA.7.G.2.1 Justify and apply formulas for…surface area of…prisms, pyramids, cylinders… Sunshine State Standards
  5. 5. Vocabulary surface area net
  6. 6. The surface area of a three-dimensional figure is the sum of the areas of its surfaces. To help you see all the surfaces of a three-dimensional figure, you can use a net . A net is the pattern made when the surface of a three-dimensional figure is layed out flat showing each face of the figure.
  7. 7. Additional Example 1A: Finding the Surface Area of a Prism Find the surface area S of the prism. Method 1: Use a net. Draw a net to help you see each face of the prism. Use the formula A = lw to find the area of each face.
  8. 8. Additional Example 1A Continued A : A = 5  2 = 10 B : A = 12  5 = 60 C : A = 12  2 = 24 D : A = 12  5 = 60 E : A = 12  2 = 24 F : A = 5  2 = 10 S = 10 + 60 + 24 + 60 + 24 + 10 = 188 The surface area is 188 in 2 . Add the areas of each face.
  9. 9. Additional Example 1B: Finding the Surface Area of a Prism Find the surface area S of each prism. Method 2: Use a three-dimensional drawing. Find the area of the front, top, and side, and multiply each by 2 to include the opposite faces.
  10. 10. Additional Example 1B Continued Front : 9  7 = 63 Top : 9  5 = 45 Side : 7  5 = 35 63  2 = 126 45  2 = 90 35  2 = 70 S = 126 + 90 + 70 = 286 Add the areas of each face. The surface area is 286 cm 2 .
  11. 11. Check It Out: Example 1A Find the surface area S of the prism. Method 1: Use a net. Draw a net to help you see each face of the prism. Use the formula A = lw to find the area of each face. 3 in. 11 in. 6 in. 11 in. 6 in. 6 in. 3 in. 3 in. 3 in. 3 in. A B C D E F
  12. 12. Check It Out: Example 1A A : A = 6  3 = 18 B : A = 11  6 = 66 C : A = 11  3 = 33 D : A = 11  6 = 66 E : A = 11  3 = 33 F : A = 6  3 = 18 S = 18 + 66 + 33 + 66 + 33 + 18 = 234 The surface area is 234 in 2 . 11 in. 6 in. 6 in. 3 in. 3 in. 3 in. 3 in. A B C D E F Add the areas of each face.
  13. 13. Check It Out: Example 1B Find the surface area S of each prism. Method 2: Use a three-dimensional drawing. 6 cm 10 cm 8 cm top front side Find the area of the front, top, and side, and multiply each by 2 to include the opposite faces.
  14. 14. Check It Out: Example 1B Continued Side : 10  8 = 80 Top : 10  6 = 60 Front : 8  6 = 48 80  2 = 160 60  2 = 120 48  2 = 96 S = 160 + 120 + 96 = 376 Add the areas of each face. The surface area is 376 cm 2 . 6 cm 10 cm 8 cm top front side
  15. 15. The surface area of a pyramid equals the sum of the area of the base and the areas of the triangular faces. To find the surface area of a pyramid, think of its net.
  16. 16. Additional Example 2: Finding the Surface Area of a Pyramid Find the surface area S of the pyramid. S = area of square + 4  (area of triangular face) S = 49 + 4  28 S = 49 + 112 S = 161 The surface area is 161 ft 2 . Substitute. S = s 2 + 4  ( bh ) 1 2 __ S = 7 2 + 4  (  7  8 ) 1 2 __
  17. 17. Check It Out: Example 2 Find the surface area S of the pyramid. S = area of square + 4  (area of triangular face) S = 25 + 4  25 S = 25 + 100 S = 125 The surface area is 125 ft 2 . 5 ft 5 ft 10 ft 10 ft 5 ft Substitute. S = s 2 + 4  ( bh ) 1 2 __ S = 5 2 + 4  (  5  10 ) 1 2 __
  18. 18. The surface area of a cylinder equals the sum of the area of its bases and the area of its curved surface. To find the area of the curved surface of a cylinder, multiply its height by the circumference of the base. Helpful Hint
  19. 19. Additional Example 3: Finding the Surface Area of a Cylinder Find the surface area S of the cylinder. Use 3.14 for  , and round to the nearest hundredth. S = area of curved surface + 2  (area of each base) Substitute. S = h  (2  r ) + 2  (  r 2 ) S = 7  (2    4 ) + 2  (   4 2 ) ft
  20. 20. Additional Example 3 Continued Find the surface area S of the cylinder. Use 3.14 for  , and round to the nearest hundredth. S  7  8( 3.14 ) + 2  16( 3.14 ) S  7  25.12 + 2  50.24 The surface area is about 276.32 ft 2 . Use 3.14 for  . S  175.84 + 100.48 S  276.32 S = 7  8  + 2  16 
  21. 21. Check It Out: Example 3 Find the surface area S of the cylinder. Use 3.14 for  , and round to the nearest hundredth. S = area of curved surface + 2  (area of each base) Substitute. S = h  (2  r ) + 2  (  r 2 ) S = 9  (2    6 ) + 2  (   6 2 ) 6 ft 9 ft
  22. 22. Check It Out: Example 3 Continued Find the surface area S of the cylinder. Use 3.14 for  , and round to the nearest hundredth. S  9  12( 3.14 ) + 2  36( 3.14 ) S  9  37.68 + 2  113.04 The surface area is about 565.2 ft 2 . Use 3.14 for  . S  339.12 + 226.08 S  565.2 S = 9  12  + 2  36 
  23. 23. Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems
  24. 24. Lesson Quiz Find the surface area of each figure. Use 3.14 for  . 1. rectangular prism with base length 6 ft, width 5 ft, and height 7 ft 2. cylinder with radius 3 ft and height 7 ft 3. Find the surface area of the figure shown. 214 ft 2 188.4 ft 2 208 ft 2
  25. 25. 1. Find the surface area of a rectangular prism with base length 7 ft, width 6 feet, and height 9 ft. A. 318 ft 2 B. 306 ft 2 C. 300 ft 2 D. 298 ft 2 Lesson Quiz for Student Response Systems
  26. 26. 2. Find the surface area of a cylinder with radius 5 ft and height 8 ft. Use 3.14 for  A. 576.8 ft 2 B. 408.2 ft 2 C. 376.2 ft 2 D. 251.2 ft 2 Lesson Quiz for Student Response Systems
  27. 27. 3. Find the surface area of the figure shown. A. 162 ft 2 B. 152 ft 2 C. 142 ft 2 D. 132 ft 2 Lesson Quiz for Student Response Systems

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