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Section 12-1 Name the Solids
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Prism a 3-dimensional figure with two congruent, parallel faces The bases are congruent, parallel faces. The bases lie in parallel planes.
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Base
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Altitude of a prism perpendicular distance (a segment) between its bases. The length of the altitude is the height of the prism!
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altitude
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the faces that are not its bases In the shape of parallelograms Lateral faces of a prism
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the parallel segments where adjacent lateral faces intersect Lateral Edges
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Types of prisms 1.Right Prism: –h–have rectangles for the lateral faces –L–Lateral edges are altitudes 2.Oblique prism: –L–Lateral edges are NOT altitudes
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Example of a Right Prism: Example of an Oblique Prism: Height
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A prism is named by the shape of its base.
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Some Examples of Right Prisms: Rectangular Prism: Base
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A rectangular prism whose edges have equal length. Cube
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Triangular Prism: : Pentagonal Prism Base
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Hexagonal Prism: And the list goes on….. Base
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pyramid Has only one base, which is a polygon, and for lateral faces triangles with a common vertex Base Vertex
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The lateral faces intersect in segments called lateral edges.
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Altitude of a pyramid The segment from the vertex perpendicular to the base The length of the altitude is the height of the pyramid!
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altitude
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A pyramid is named by the shape of its base.
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Examples Triangular Pyramid Square Pyramid Pentagonal Pyramid Hexagonal Pyramid
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Properties of Regular pyramids 1.The base is a regular polygon. 2.All lateral edges are congruent. 3.All lateral faces are congruent isosceles triangles. 4.The height of a lateral face is called the slant height ( l ) of the pyramid. 5.The altitude meets the base at its center.
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Other 3- Dimensional figures have curved faces
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cylinder A solid with congruent circular bases that lie in parallel planes Bases
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The altitude is the perpendicular distance between its bases. Parts of a Cylinder
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The length of the altitude is called the height. A radius of a base is the radius of the cylinder. r h
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cone Has a circular base and vertex that is not in the same plane as the base.
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The altitude (height) is the perpendicular distance between the vertex and the base. The slant height is the distance between the vertex and a point on the base edge.
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Base Vertex height Slant height
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sphere Set of all points in space at a given distance from a given point, called the center.
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Many of the terms used with circles are used with spheres:
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Great circle The intersection of a plane and a sphere so that the center of a sphere is included
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hemisphere Two congruent halves of a sphere separated by a great circle.
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net A two dimensional pattern that when folded forms a three dimensional figure. Dotted lines indicate folds.
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Example of a Net
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