Geometry 10-1 Solids

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Geometry 10-1 Solids

• Face the flat side of a figure
• Edge a straight line connecting sides
• Vertex a corner where edges intersect

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Basic Shapes

• Prism 2 polygon bases, rectangle faces
• Cylinder 2 circle bases, curved face
• Pyramid 1 polygon base, triangle faces connect
  to a vertex
• Cone 1 circle base, 1 curved side connects to a
  vertex

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Name that Shape

• Prisms and pyramids are named according to the
  shape of the base.

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Example

• Classify the solid shape.

pentagonal pyramid
vertices A, B, C, D, E, F
faces 6 total (1 base)
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Example

• Classify the solid shape.

cone
vertex N
M
edges cones dont have edges
faces 2 total (1 base)
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Volume and Surface Area

• Volume how much can fit inside of a shape
• Surface area total area of all faces
• Lateral Surface area area of side faces. Does
  not include the base(s).

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Prisms

• Volume V Bh
• B area of the base shape
• h distance between bases

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Prisms

• Total Surface Area S Ph 2B
• Lateral Surface Area S Ph
• P perimeter of base shape