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Geometry 10-1 Solids

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Geometry 10-1 Solids Face: the ... the solid shape. vertex: N cone edges: cones don t have edges faces: 2 total (1 base) M Volume and Surface Area ... – PowerPoint PPT presentation

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Title: Geometry 10-1 Solids


1
Geometry 10-1 Solids
  • Face the flat side of a figure
  • Edge a straight line connecting sides
  • Vertex a corner where edges intersect

2
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

3
Name that Shape
  • Prisms and pyramids are named according to the
    shape of the base.

1
2
3
4
5
6
7
8
4
Example
  • Classify the solid shape.

pentagonal pyramid
vertices A, B, C, D, E, F
faces 6 total (1 base)
5
Example
  • Classify the solid shape.

cone
vertex N
M
edges cones dont have edges
faces 2 total (1 base)
6
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).

7
Prisms
  • Volume V Bh
  • B area of the base shape
  • h distance between bases

8
Prisms
  • Total Surface Area S Ph 2B
  • Lateral Surface Area S Ph
  • P perimeter of base shape
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