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Section 12-1 Name the Solids. Prism a 3-dimensional figure with two congruent, parallel faces The bases are congruent, parallel faces. The bases lie in.

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Presentation on theme: "Section 12-1 Name the Solids. Prism a 3-dimensional figure with two congruent, parallel faces The bases are congruent, parallel faces. The bases lie in."— Presentation transcript:

1 Section 12-1 Name the Solids

2 Prism a 3-dimensional figure with two congruent, parallel faces The bases are congruent, parallel faces. The bases lie in parallel planes.

3 Base

4 Altitude of a prism perpendicular distance (a segment) between its bases. The length of the altitude is the height of the prism!

5 altitude

6 the faces that are not its bases In the shape of parallelograms Lateral faces of a prism

7 the parallel segments where adjacent lateral faces intersect Lateral Edges

8 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

9 Example of a Right Prism: Example of an Oblique Prism: Height

10 A prism is named by the shape of its base.

11 Some Examples of Right Prisms: Rectangular Prism: Base

12 A rectangular prism whose edges have equal length. Cube

13 Triangular Prism: : Pentagonal Prism Base

14 Hexagonal Prism: And the list goes on….. Base

15 pyramid Has only one base, which is a polygon, and for lateral faces triangles with a common vertex Base Vertex

16 The lateral faces intersect in segments called lateral edges.

17 Altitude of a pyramid The segment from the vertex perpendicular to the base The length of the altitude is the height of the pyramid!

18 altitude

19 A pyramid is named by the shape of its base.

20 Examples Triangular Pyramid Square Pyramid Pentagonal Pyramid Hexagonal Pyramid

21 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.

22 Other 3- Dimensional figures have curved faces

23 cylinder A solid with congruent circular bases that lie in parallel planes Bases

24 The altitude is the perpendicular distance between its bases. Parts of a Cylinder

25 The length of the altitude is called the height. A radius of a base is the radius of the cylinder. r h

26 cone Has a circular base and vertex that is not in the same plane as the base.

27 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.

28 Base Vertex height Slant height

29 sphere Set of all points in space at a given distance from a given point, called the center.

30 Many of the terms used with circles are used with spheres:

31 Great circle The intersection of a plane and a sphere so that the center of a sphere is included

32

33 hemisphere Two congruent halves of a sphere separated by a great circle.

34 net A two dimensional pattern that when folded forms a three dimensional figure. Dotted lines indicate folds.

35 Example of a Net


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