1.7: Three-Dimensional Figures

 Polyhedron - a solid with all flat surfaces that enclose a single region of space  Face – each flat surface  Edges- line segments where faces intersect  Vertex- where three or more edges intersect

 Prism- polyhedron with two parallel congruent faces called bases connected by parallelogram faces  Pyramid – polyhedron that has a polygonal base and three or more triangular faces that meet at a common vertex

 Cylinder- solid with congruent parallel circular bases connected by a curved surface.  Cone- solid with a circular base connected by a curved surface to a single vertex.  Sphere- set of all point in space that are the same distance from a given point. Has no faces, edges, or vertices.

 Regular polyhedron- all of its faces are regular congruent polygons and all of its edges are congruent  There are exactly 5 types  They are called the Platonic solids.  Tetrahedron, Hexahedron (Cube), Octahedron, Dodecahedron, Icosahedron

 Surface area- 2 dimensional measurement of the surface of a solid figure  “to wrap all the way around it”  Volume – measure of the amount of space enclosed by a solid  “fill it up”

PrismRegular PyramidCylinderConeSphere Surface Area T= Ph+2B T=1/2Pl + BT=2 π rh + 2 π r 2 T= π rl + π r 2 T=4 π r 2 Volume V= BhV= 1/3BhV= π r 2 hV= 1/3 π r 2 h V= 4/3 π r 3 T= total surface area V=volumeh= height of solid P= Perimeter of baseB=area of basel= slant height, r=radius

Homework  Page 70: 1-25 odds, all