11.2 Surface Area of Prisms & Cylinders Prism Z A polyhedron with two congruent faces (bases) that lie in parallel planes. The lateral faces are parallelograms.

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12.2 Surface Area of Prisms & Cylinders

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11.2 Surface Area of Prisms & Cylinders

Prism Z A polyhedron with two congruent faces (bases) that lie in parallel planes. The lateral faces are parallelograms The height is the perpendicular distance between the bases Z Surface Area (SA): the sum of the areas of its faces Z Lateral Area (LA): the sum of the areas of the lateral faces

Surface Area Z Surface area is found by finding the area of all the sides and then adding those answers up. Z How will the answer be labeled? Z Units 2 Z Units 2 because it is area!

Rectangular Prism How many faces are on here? 6 Find the area of each of the faces. A B C 4 5 in 6 Do any of the faces have the same area? A = 5 x 4 = 20 x 2 =40 B = 6 x 5 = 30 x 2 = 60 C = 4 x 6 = 24 x 2 = 48 If so, which ones? 148 in 2 Opposite faces are the same. Find the SA

Cube Are all the faces the same?YES 4m How many faces are there? 6 Find the Surface area of one of the faces. A 4 x 4 = 16Take that times the number of faces. X 6 96 m 2 SA for a cube.

Triangular Prism How many faces are there? 5 How many of each shape does it take to make this prism? 2 triangles and 3 rectangles = SA of a triangular prism m Find the surface area. Start by finding the area of the triangle. 4 x 3/2 = 6 How many triangles were there? 2 x 2 = 12 Find the area of the 3 rectangles. 5 x 10 = 50 = front 4 x 10 = 40 = back 3 x 10 = 30 = bottom SA = 132 m 2 What is the final SA?

Surface Area of a Right Prism Z The surface area (SA) of a right prism is: SA = 2B + Ph B = area of one base P = perimeter of one base h = height of the prism 2B represents the “base area” Ph represents the “lateral area”

Find lateral area & surface area

Find lateral area and surface area

Find lateral area & surface area

8 cm 3 cm

Cylinder Z A solid with congruent circular bases that lie in parallel planes. Z Lateral area: the area of its curved surface

Surface Area of a Right Cylinder Z The surface area of a right cylinder is: Z SA = 2B + Ph which can be written as:  SA = 2 π r π rh

Find lateral area & surface area

Find total surface area