12 2 surface area of prisms cylinders n.
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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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prism
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
right oblique

Bases (2 Δs)

RightOblique

Lateral faces (3 ll’ograms)

height

Lateral edges (3)

Triangular Prisms

surface area of a right prism
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
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
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