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10.1 Solid Geometry Geometry
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Definitions: Solids- 3-dimensional figures Face: flat surface
Edge: segment that is the intersection of two faces Vertex: point that is the intersection of three or more faces
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Diagram
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Three-Dimensional Figures
Prism: formed by two parallel congruent faces called bases connected by faces that are parallelograms Cylinders: formed by two parallel congruent circular bases and a curved surface that connects the bases
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Three-Dimensional Figures
Pyramid: formed by a polygonal base and triangular faces that meet at a common vertex Cone: formed by a circular base and a curved surface that connects the base to a vertex.
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Solids Cube: is a prism with six square faces
Other common prisms and pyrimads (named with their bases).
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Example: Classify each figure. Name the vertices, edges, and bases. M
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Definition: Net: a diagram of the surfaces of a three-dimensional figure that can be folded to form the three-dimensional figure.
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Example: Describe the three-dimensional figure that can be made from the given net.
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Example: Describe the three-dimensional figure that can be made from the given net.
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Example: Describe the three-dimensional figure that can be made from the given net.
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Example: Describe the three-dimensional figure that can be made from the given net.
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Definition Cross Section: The intersection of a three-dimensional figure and a plane.
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Example: Describe the cross sections.
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Example: Describe the cross sections.
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Example: Describe the cross sections.
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Example: Describe the cross sections.
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Example: A piece of cheese is a prism with equilateral triangular bases. How can you slice the cheese to make each shape? An equilateral triangle A rectangle
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