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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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Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

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