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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 altitude Lateral face (4) base height base radius Prism – a polyhedron with two congruent parallel faces called bases Cylinder – a solid with congruent circular bases that lie in parallel planes

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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 + 2BB = 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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