Notes: 3-Dimensional Figures



ML #2: Solids/Nets/Cross Sections (2D/3D Geometry – Math 7 PLUS)PART 1: SOLID INFORMATIONVocabularyDefinitionIllustrationsolidAnother name for a three-dimensional (space) figurefacesThe plane figures (sides) that make up a solid 7302527940 faceedgesWhere faces intersect7302527940 edge vertex (vertices)Where three or more edges intersect7302527940 vertexnetA pattern you can fold into a solid figureExamples of solids:NameDescriptionIllustrationRectangular Prism2 rectangular bases4 rectangular sidesfaces ____edges ____vertices ____basebaseCube6 square facesAll faces are congruentfaces ____edges ____vertices ____Triangular Prism2 triangular bases3 rectangular sides faces ____edges ____vertices ____ Cylinder2 circular, congruent, parallel baseslateral curved surface faces ____edges ____vertices ____Pyramid4 or more facesTriangular sidesfaces ____edges ____vertices ____ Cone1 circular basefaces ____edges ____vertices ____23876062230Sphereperfectly roundfaces ____edges ____vertices ____PART 2: NETS OF SOLIDSDIRECTIONS: Draw a net for each solid below. Use graph paper to construct the solids from your nets. CubeRectangular PrismCylinderTriangular PrismSquare PyramidTriangular PyramidConePART 3: CROSS SECTIONSBelow are three cross sections of a pyramid with a square base: 21145518415If the pyramid is cut with a plane parallel to the base, the intersection of the pyramid and the plane is a square cross section. 33020165735If the pyramid is cut with a plane passing through the top vertex and perpendicular to the base, the intersection of the pyramid and the plane is a triangular cross section.21590-635If the pyramid is cut with a plane perpendicular to the base, but not through the top vertex, the intersection of the pyramid and the plane is a trapezoidal cross section. Discovering Plane Sections: Draw the 2-D shape made from the given cutCube Plane Sections: Shapes Found3420745571516027405715Rectangular Prism Plane Sections: Shapes FoundTriangular Prism Plane Sections: Shapes FoundCone Plane Sections: Shapes Found Cylinder Plane Sections: Shapes Found215519081280401955081280 Sphere Plane Sections: Shapes Found ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download