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March 14, 2011

March 14, 2011. 1) Write your homework in your agenda: Homework and Practice wkbk Lesson 10-9 Surface Area SHOW ALL YOUR WORK!! 2) Turn in your Surface Area Performance Task. Put your name on it.

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March 14, 2011

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  1. March 14, 2011 1) Write your homework in your agenda: Homework and Practice wkbk Lesson 10-9 Surface Area SHOW ALL YOUR WORK!! 2) Turn in your Surface Area Performance Task. Put your name on it. 3) Set up for Cornell Notes and then open your dictionary to the Solid Figures section.

  2. Surface Area What am I Learning Today? How will I show that I learned it? Derive a formula for the surface area of prisms and cylinders using 2D figures, manipulatives and nets Compute surface area using formulas Solve application problems involving surface area

  3. Vocabulary • Surface area: The sum of the area of the faces of a solid figure

  4. Formula for Surface Area derived from the nets. Where do the formulas come from? l Top h Back Side h Front w w Left Side Top Right Side l h Each surface is a rectangle. Each rectangle has a congruent counterpart. Find the area of each surface. A = lw Then multiply each area by 2. A = 2(lw) A = 2(wh) A = 2(lh) Front h w Bottom l Find the Total Surface Area by adding these areas together. SA = 2(lw) + 2(wh) + 2(lh)

  5. Where do the formulas come from?

  6. Where do the formulas come from? http://www.brightstorm.com/d/math/s/geometry/u/area/t/surface-area-of-cylinders

  7. Questions Notes Questions Answers What is the formula for the surface area of a rectangular prism ? SA =(2 xlx w) + (2 x w x h) + (2 xlx h) 2 m SA = (2 x l x w) + (2 x w x h) + (2 x l x h) SA = (2 x 3 x 2) + (2 x 2 x 5) + (2 x 3 x 5) SA = 12 + 20 + 30 SA = 32 + 30 = 62 m2 5 m 3 m What is the formula for the surface area of a cube? SA = 6s2 SA = 6 x 32 = 6 x 9 SA = 54 in2 SA = 6s2 3 in. What is the surface area of a cylinder? SA = 2TTr2 + 2TTrh SA = 2TTr2 + 2TTrh SA = 2 x 3.14 x 22 + 2 x 3.14 x 2 x 4 SA = 6.28 x 4 + 6.28 x 8 SA = 25.12 + 50.24 = 75.36 cm2 2 cm 4 cm

  8. SA = 2(lw) + 2(hl) + 2(hw) SA = 2 x 8 x 6 + 2 x 7 x 8 + 2 x 7 x 6 SA = 2 x 48 + 2 x 56 + 2 x 42 SA = 96 + 112 + 84 SA = 208 + 84 SA = 292 ft2 Surface Area of a Prism 7 ft 6 ft 8 ft Now you try: What is the surface area of a rectangular prism with a length of 6 ft, a width of 5 ft, and a height of 7 ft ? SA = 2(6 x 5) + 2(7 x 6) + 2(7 x 5) = 214 ft2

  9. SA = 2πr² + 2πrh SA = (2 x 3.14 x 3²) + (2 x 3.14 x 3 x 5) SA = (6.28 x 9) + (6.28 x 15) SA = 56.52 + 94.2 SA = 150.72 in² Surface Area of a Cylinder 3 in 5 in Now you try: Find the surface area of a cylinder that has a height of 5 ft and a radius of 2 ft. SA = (2 x 3.14 x 2²) + (2 x 3.14 x 2 x 5) = 87.92 ft2

  10. Plug and Chug Practice Find the surface area of the following solids using the appropriate formula. 1) 2) 3) The side of a cube is 2 cm. What is its surface area? 4) You design an oatmeal container as a cylinder with a radius of 2 in. and a height of 22.8 in. What is its surface area? 4 ft. SA = 276.32 ft2 SA = 188 in2 7 ft. 12 in. 2 in. 5 in. SA = 24 cm2 SA = 312 in2

  11. March 15, 2011 1) Write your homework in your agenda: Surface Area worksheet 2) Open your agenda to your behavior card. 3) Open your HWP wkbk to Lesson 10-9 and leave it on your desk. 4) Graph your Computation Challenge.

  12. HWP Lesson 10-9 • s = 600 in2 • s = 268 ft2 • s = 297 ft2 • s = 228 m2 • s = 571.48 cm2 • s = 326.56 in2 • Pi is an estimated value • 10 ft2

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