Date post: | 01-Jan-2016 |
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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
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
Name that Shape
• Prisms and pyramids are named according to the shape of the base.
Example
• Classify the solid shape.
pentagonal pyramidvertices: A, B, C, D, E, F
faces: 6 total (1 base)
edges:
Example
• Classify the solid shape.
vertex: Ncone
edges: cones don’t have edgesfaces: 2 total (1 base)
M
Volume and Surface AreaVolume: how much can fit inside of a shape
Surface area: total area of all facesLateral Surface area: area of side faces. Does not include the base(s).
Prisms
• Volume: V = BhB = area of the base shapeh = distance between bases
Prisms
• Total Surface Area: S = Ph + 2B• Lateral Surface Area: S = Ph
P = perimeter of base shape