Surface Area of Prisms and Cylinders Section 12.2

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12.2 Surface Area of Prisms & Cylinders

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Presentation transcript:

Surface Area of Prisms and Cylinders Section 12.2 Goal – to find the surface area of a prism and the surface area of a cylinder

Prisms & Cylinders Polyhedron – a solid bounded by polygons Prism – a polyhedron with two congruent parallel faces called bases Cylinder – a solid with congruent circular bases that lie in parallel planes radius base base altitude height Lateral face (4) base base

Prisms are classified by the shapes of their bases

Surface Area verses Lateral Area of a Prism The lateral area of a polyhedron or prism is the sum of the area of its lateral faces. LA = Ph P = Perimeter of the base h = height of 3-D shape The surface area of a polyhedron or prism is the sum of area if its faces. SA = Ph + 2B B = Area of the base

Example

Surface Area verses Lateral Area of a Cylinder The lateral area of a cylinder is the area of its curved surface. LA = r = radius of the base h = height of 3-D shape The surface area of a cylinder is equal to the sum of the lateral area and the areas of the two bases. SA =

Example

Students

Students