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**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

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**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

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**Prisms are classified by the shapes of their bases**

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**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

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Example

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**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 =

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Example

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Students

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Students

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11-1 Space Figures and Cross Sections. Polyhedra A polyhedron is a three- dimensional figure whose surfaces are polygons. Each polygon is a face of the.

11-1 Space Figures and Cross Sections. Polyhedra A polyhedron is a three- dimensional figure whose surfaces are polygons. Each polygon is a face of the.

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