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 Benchmarks: B.1.4.1 and C.3.4.1

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

Definitions Surface area – sum of the areas of all the faces 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

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

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

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 10 11 11 in 10 in Lateral Surface Area = ½ (10)(11) x 4= 220 in2 Total Surface Area = 220 + 100 = 320 in2

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

Next Time Surface Area of “the Others” Volume

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