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Do Now. Write this down!. Below are nets for 3D shapes. Identify the shape and find the area of the net. 1. 2. 6cm. 7 ft. 10 ft. Objectives. To use nets of 3D figures to calculate total surface area and lateral surface area

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Do Now

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  1. Do Now Write this down! Below are nets for 3D shapes. Identify the shape and find the area of the net. 1. 2. 6cm 7 ft 10 ft

  2. Objectives • To use nets of 3D figures to calculate total surface area and lateral surface area • Benchmarks: B.1.4.1 and C.3.4.1

  3. Agenda • Finish building 3D solids from nets • Measure the pertinent parts of each solid • Calculate the total surface area and lateral surface area of each solid • Practice calculating surface area of prisms and pyramids

  4. Definitions Write this down! • Surface area – sum of the areas of all the faces • Lateral surface area – sum of the areas of all the lateral faces • Height – altitude of the solid • Slant Height – the altitude of the lateral face

  5. Finding Surface Area Write this down! • Draw and label the net of the solid • Find the area of each face • Sum all the areas

  6. Surface Area of a Prism Write this down! • Use the net to find the lateral surface area and the total surface area of the prism below 4 12 3 5 cm 4 3 4 3 5 20 15 20 15 3 cm 3 12 4 cm 4 Lateral Surface Area = 20 + 15 + 20 + 15 = 70 cm2 Total Surface Area = 12 + 12 + 70 = 94 cm2

  7. Surface Area of Pyramids Write this down! • Use the net below to find the lateral surface area and total surface area of the square pyramid 11 11 in 10 10 10 11 11 10 11 10 in Lateral Surface Area = ½ (10)(11) x 4= 220 in2 Total Surface Area = 220 + 100 = 320 in2

  8. Finding Surface Area • Draw and label the net of the solid • Find the area of each face • Sum all the areas

  9. Next Time • Surface Area of “the Others” • Volume

  10. Questions? Comments?

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