Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many"...

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Solid Geometry Polyhedron •A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and - edron meaning "face"). • Each flat surface (or "face") is a polygon. • So, to be a polyhedron there should be no curved surfaces. Non-Polyhedra - Some solids have curved surfaces, or a mix of curved and flat surfaces (so they aren't polyhedra).

Transcript of Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many"...

Page 1: Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and -edron meaning "face"). Each flat surface (or "face")

Solid Geometry

• Polyhedron• A polyhedron is a solid with flat faces (from Greek

poly- meaning "many" and -edron meaning "face"). • Each flat surface (or "face") is a polygon.• So, to be a polyhedron there should be no curved

surfaces.• Non-Polyhedra - Some solids have curved

surfaces, or a mix of curved and flat surfaces (so they aren't polyhedra).

Page 2: Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and -edron meaning "face"). Each flat surface (or "face")

Solid GeometrySolid

Figures

Polyhedra- Solid figure with all faces being flat and

polygons.

pyramids prisms

Non-Polyhedra – Solid figure with

curved or a mix of flat and curved

surfaces.

Cylinders Cones Spheres

Page 3: Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and -edron meaning "face"). Each flat surface (or "face")

Polyhedra - Prisms

• No Curves!• A prism is a polyhedron, which means the

cross section will be a polygon (a straight-edged figure) ... so all sides will be flat!

Page 4: Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and -edron meaning "face"). Each flat surface (or "face")

Examples of Polyhedra

Cube

Triangular Prism

Dodecahedron

Page 5: Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and -edron meaning "face"). Each flat surface (or "face")

Polyhedra - Pyramids

• A pyramid is a polyhedron with a polygonal base and triangles for sides.

• A pyramid is made by connecting a base to an apex

Page 6: Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and -edron meaning "face"). Each flat surface (or "face")

There are many types of Pyramids, and they are named after the shape

of their base.

TriangularPyramid

SquarePyramid

PentagonalPyramid

Page 7: Solid Geometry Polyhedron A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and -edron meaning "face"). Each flat surface (or "face")

Non-Polyhedra - Some solids have curved surfaces, or a mix of curved and flat surfaces (so they aren't polyhedra).

Cone

Cylinder

Sphere