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INTRODUCTION TO

INTRODUCTION TO. GEOMETRIC SOLIDS. OBJECTIVES. Be able to recognize different types of geometric solids Be able to describe geometric solids using proper terminology Be able to draw nets of different types of geometric solids. GEOMETRIC SOLIDS. Solid figures have THREE dimensions:

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INTRODUCTION TO

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  1. INTRODUCTION TO GEOMETRIC SOLIDS

  2. OBJECTIVES Be able to recognize different types of geometric solids Be able to describe geometric solids using proper terminology Be able to draw nets of different types of geometric solids

  3. GEOMETRIC SOLIDS Solid figures have THREE dimensions: Length Height Depth Plane figures have only two dimensions: length & height. Height Depth Length

  4. GEOMETRIC SOLIDS The bottoms & tops of solids are called BASES The sides of solids are called LATERAL FACES or LATERAL AREAS Base Lateral Area Lateral Faces Base Base

  5. GEOMETRIC SOLIDS Two basic types of geometric solids: 1. Solids with flat surfaces called POLYHEDRONS 2. Solids with curved surfaces called SOLIDS WITH CURVED SURFACES!

  6. A solid formed by polygons that enclose a single region of space is a POLYHEDRON

  7. POLYHEDRONS The flat polygonal surfaces of the polyhedron are called FACES A segment where two faces intersect is called an EDGE The point of intersection of three or more edges is called a VERTEX of the polygon

  8. PRISMS A prism has two bases that are CONGRUENT, PARALLEL polygons. The lateral faces are rectanglesor parallelograms that connect the corresponding sides of the bases. Prisms are classified by their bases.

  9. PRISM

  10. PYRAMIDS A pyramid has only one base. The lateral faces of a pyramid are triangles. The common vertex of the lateral faces is the vertex. Pyramids are classified by their bases.

  11. PYRAMID

  12. SOLIDS WITH CURVED SURFACES CYLINDERS A cylinder has two bases that are parallel and congruent. The bases of a cylinder are circles.

  13. CYLINDER

  14. CONES A cone has one base and a vertex. The base of a cone is a circle.

  15. CONE

  16. SPHERES A sphere is a set of all points in space at a given distance from a given point. The given distance is called the RADIUS of the sphere. The given point is at the CENTER of the sphere. Half of a sphere and its circular base is a hemisphere.

  17. SPHERE

  18. SURFACE AREA The SURFACE AREA of a geometric solid is the sum of the areas of all of the faces or surfaces that enclose the solid.

  19. SURFACE AREA The surface area of a solid will be the sum of The area of its base(s) and The sum of the areas of its lateral faces, or, for a curved surface, the lateral area

  20. To calculate the surface area of a solid, it is sometimes helpful to draw a NET

  21. NETS • A diagram of the faces of a geometric solid arranged in such a way that the diagram could be folded to form the solid • What a geometric solid would look like if you cut it and smashed it out flat

  22. PRISMS 5 cm. 5 cm. 5 cm.

  23. PRISMS 10 in. 5 in. 20 in.

  24. NET OF A PYRAMID

  25. SLANT HEIGHT OF APYRAMID SLANT HEIGHT Slant height is the altitude of the triangular face Slant height is the distance from the vertex of a regular pyramid to the midpoint of an edge of the base

  26. NET OF A CYLINDER r H

  27. NET OF A CONE

  28. CONES = slant height of cone H = height of cone (Altitude) H r

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