Geometry 7­3 Surface Area Prisms.notebook Surface Area ­ Prisms Geometry • Students will use the net of a prism to determine formula for total and lateral surface area of a prism. • Students will write, solve and model equations involving surface area of 1. Find the area 4 in rectangular and triangular prisms 6 in 2. Find the area 3 m TEKs 8.7B ­ Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for 7 ft problems involving rectangular prisms, triangular prisms, and cylinders 3. Find the area Identify the pair of angles. 4 ft 3. x x 4. 6 ft 4. Find the area y 13 yd (Hint: use Pythagorean theoremy to get missing side, then find area) answer 5 yd o 7040o 35o 50o o 7560o o 90 70o Title Page Warm­Up ANSWERS Practice Answers 1. a, c & e = 120o b, d, f & g = 60o 2. a = 135o, b = 15o Maintain Your Skills 3. 30o 1. a. y=­3x­3 4. x = 59° b. y = 2/3x + 1 c. 14.95 + .13x = 43.95; x = 223 5. n = 46° 2. x = 2 3. x = 14 6. t = 60° 4. all real numbers 7. w = 31° 8. x = 50° 9. x = 30° 10. 103° 11. 77° 12. 60° Practice Answers Practice Worksheet Math Humor Solid What happens to a mathematician Figures who commits a crime? Each student receives a solid figure. Students with a curved figure stand by the windows. He goes to prism. Students with a figure that has a polygon as a base (polyhedrons). What is the difference between a prism & pyramid? Introduction Math Humor 1 Geometry 7­3 Surface Area Prisms.notebook Activity Shoe Box Build a rectangular prism using centimeter cubes. How many sides are there? Top & Bottom views are 3x4 Front & Back views are 2x4 Which ones are congruent? Side views are 2x3 If each cube measures 1 cm by 1 cm, what is the surface area? Cereal Box How many sides are there? Which ones are congruent? Introduction Activity Cut and tape Labsheet in your journal Milton’s Chocolate Factory is creating a new candy bar. They are considering 3.0 a box in the shape of a rectangular prism for its packaging as shown. Area Top: 3 x 4 = 12 Area Bottom: 3 x 4 = 12 1. Determine the surface area using a net. Area Side: 2 x 4 = 8 Pull Pull Area Top: ________________________ Area Side: 2 x 4 = 8 Area Bottom: _____________________ Area End: 2 x 3 = 6 Area Side: ________________________ Area End: 2x 3 = 6 Area Side: ________________________ TOTAL: 52 units2 Area End: ________________________ Perimeter of Base = 2+ 3 + 2 +3 = 10 Area End: ________________________ TOTAL: height = 4 Area Base = (2x3) = 6 x 2 = 12 2. Determine the surface area using the formula. S = Ph + 2B TOTAL: (10 x 4) + 12= 52 unitsFind a friend and them 2 how to find Perimeter of Base: _____________________ Height of prism: _______________________ Perimeter Area of Base Area of Base: _________________________ of Base height surface area. TOTAL: Labsheet Friend Transition _____ Surface Area Prisms Always have to say what Date • sum of area of 2 you think... 1. What is the bases and all faces surface area of a prism? or never • answer in units speak again? squared • lateral faces are parallelograms Would You Rather? Notes 2 Geometry 7­3 Surface Area Prisms.notebook 2. How to find • from a net ­ find area of 3. What is • how total area changes 5 x 8 = 40 all sides and add Rectangular the surface 5 x 8 = 40 changing area of 5 x 17 = 85 dimensions? • square the amount of change • from the formula 5 x 17 = 85 prism? 8 x 17 = 136 ~each side doubled (22) Triangular 8 x 17 = 136 Total 522 ft2 surface area quadrupled ~each side tripled (32) surface area 9 times larger Notes Notes How many squares are in the rectangles and triangles? Find the differences Move to check your answer. Practice S ≈ 22 Surface Area of Prism 1 2 3 Worksheet 4 5 6 1 3 1 2 1 2 4 5 6 2 1 2 3 4 5 6 Introduction Homework Closing Questions How to find surface area? (add up area all sides) What is the formula for area of a rectangle? triangle? (A = lw) (A = 1/2bh) Closing Questions 3.