12.2 Surface Area of Prisms & Cylinders

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12.2 Surface Area of Prisms & Cylinders. Surface Area. Prism. 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 Surface Area: the sum of the areas of its faces

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12.2 Surface Area of Prisms & Cylinders

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12.2 Surface Area of Prisms & Cylinders

Prism
• 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
• Surface Area: the sum of the areas of its faces
• Lateral Area: the sum of the areas of the lateral faces

Bases (2 Δs)

RightOblique

Lateral faces (3 ll’ograms)

height

Lateral edges (3)

Triangular Prisms

Surface Area of a Right Prism
• The surface area, S, of a right prism is:

S = 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”

Cylinder
• A solid with congruent circular bases that lie in parallel planes.
• Lateral area: the area of its curved surface
Surface Area of a Right Cylinder
• The surface area of a right cylinder is:
• S = 2B + Ph which can be written as
• S = 2πr2 + 2πrh