Surface Area of Prisms and Cylinders

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12.2

• Surface Area of Prisms and Cylinders

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Types of Polyhedra

• Prism 3-D figure with two identical parallel
  faces
• The bases are congruent, parallel faces
• A prism is named by the shape of its base
• Lateral faces are all faces excluding bases
  (rectangle)

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Some examples

• Rectangular Prism or right prism

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• Triangular Prism

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• Pentagonal Prism

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• Hexagonal Prism

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• Pyramid 3-D figure with one base
• A pyramid is named by the shape of its bases
• Faces are triangles

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Some examples

• Square Pyramid

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• Triangular Pyramid

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• Pentagonal Pyramid

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Other 3-Dimensional figures-have curved faces

• Cylinder 2 congruent parallel bases

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• Cone has one circular base and one vertex

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• Net 2-D pattern that when folded is 3-D
• Dotted lines indicate folds

square pyramid
rectangular prism
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• Surface Area sum of the areas of the faces of
  the solid/polyhedron
• Surface area is measured in square units
• Surface Area of a Right Prism
• S 2B Ph
• B- area of the base
• P- perimeter of the base
• h- height

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• Active Inspire for examples!

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Find the surface area of the right prism
12in
B
C
A
15in
30in
S 2B Ph S 2 (30?15) (90) ? 12 S 900
1080 S 1980 in²
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• Surface Area of a Right Cylinder
• S 2B Ch
• B- area of the base
• C- circumference
• h- height

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• Active Inspire for examples

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4cm
S 2B Ch S 2(p 4²) (2p ? 4) ? 9 S 100.53
226.19 S 326.72 cm²
9cm