 Take out your calculator and notebook.  Take a worksheet from the bookshelf  List any solids that you already know.  What does “3-D” mean?  Draw.

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Presentation transcript:

 Take out your calculator and notebook.  Take a worksheet from the bookshelf  List any solids that you already know.  What does “3-D” mean?  Draw a 3-D figure DO NOW

INTRO TO SOLIDS

 Visualize objects and relationships in two and three dimensions  Introduce geometric solids  Visualize nets of solids  Use problem solving skills TODAY’S OBJECTIVES

 AKA solid geometry  Space is the set of all points.  Cannot be contained in a flat surface. SPACE GEOMETRY

 Cylinder  Prism  Cone  Pyramid  Sphere FIVE TYPES OF SOLIDS

 Polyhedron—a solid formed by polygons that enclose a single region of space  Named after their base.  Faces—the flat polygonal surfaces of a polyhedron  Edge—a segment where two faces intersect  Vertex—the point of intersection of three or more edges POLYHEDRON

 Prism—special type of polyhedron  Has two faces called bases that are congruent  Other faces are called lateral faces PRISM

 Pyramid—a polyhedron with only one base PYRAMID

 Cylinder—two circular bases with a curved surface CYLINDER

 Cone—one base with a curved surface CONE

 Sphere—the set of all points in space at a given distance from a given point.  3-D circle SPHERE

 A pattern that you can cut and fold to make a model of a solid shape NET

 Visualize objects and relationships in two and three dimensions  Introduce geometric solids  Visualize nets of solids  Use problem solving skills TODAY’S OBJECTIVES

EXIT SLIP

VOLUME OF PRISMS AND CYLINDERS

 Discover formulas for finding the volumes of prisms and cylinders  Use problem solving skills TODAY’S OBJECTIVES

 Volume—the measure of the amount of space contained in a solid.  The volume of the object is the number of unit cubes that completely fill the space within the object. VOLUME

 Find the volume of each rectangular prism INVESTIGATION

 Find the volume VOLUME

 Rectangular Prism Volume Conjecture—If B is the area of the base of a right rectangular prism and h is the height of the solid, then the formula for the volume is _____  V=Bh RECTANGULAR PRISM VOLUME CONJECTURE

 Find the volume VOLUME

 Find the volume VOLUME

 Find the volume VOLUME

 Find the volume VOLUME

 Discover formulas for finding the volumes of prisms and cylinders  Use problem solving skills TODAY’S OBJECTIVES

1.Find the volume to the right 2.Find the volume of the cylinder if the radius of the circular base is 4cm and the height is 7cm. EXIT SLIP