Solid Figures I can identify, classify, and compare three dimensional geometric figures using appropriate terminology and vocabulary.
ESSENTIAL QUESTIONS What are 3 dimensional geometric figures? How are they classified? What are 3 dimensional geometric figures? How are they related to polygons? 2 2
DRILL 3
1.This polygon has 3 sides. 2. A figure that has 5 sides is called ______? 3.A heptagon has __________ sides. 4. What do you call a polygon with 8 sides? 5.How many sides does a hexagon has? PENTAGON TRIANGLE SEVEN OCTAGON SIX
Let’s Review Polygons What makes geometric shapes (polygons) different from each other? We never looked at circles, ovals, or anything with curved sides. Do you know why these shapes weren’t included with polygons? Why is it important to know how many edges and vertices a polygon has? 5
Notes to ponder We will cover: Faces Edges Vertices Prisms Cubes Pyramids Curved Solids 6 Let’s go!
SOLID FIGURES 3 dimensional figures Length Width Height Can stand on it’s own. 7
SOLID FIGURES Solid Figures can have: 8 Faces Edges Vertices
The sides of a solid figure are called faces . face
Edges are formed when two faces meet. edge
A vertex is formed where three or more edges meet. vertex Vertices is the plural form of vertex .
Polyhedron A polyhedron is a solid with flat faces. figure (from Greek poly- meaning "many" and - edron meaning "face"). Each face is a polygon or 2-D figure . (a flat shape with straight sides). So, to be a polyhedron there should be NO CURVED SURFACES .
A prism is a polyhedron that has 2 congruent bases. base - bottom face of a solid figure
Prisms are named according to their bases. Base Name of Prism triangle triangular prism rectangle rectangular prism hexagon hexagonal prism
This is a special prism called a cube . All of its faces are squares. It is a type of rectangular prism!
A pyramid is a polyhedron with only one base . All other faces are triangles that meet at the same vertex.
Pyramids are named according to their bases as well! Base Name of Pyramid triangle triangular pyramid rectangle rectangular pyramid pentagon pentagonal pyramid
Solids with curved surfaces are NOT polyhedrons. Cylinder - a solid figure with two congruent circular faces Cone - a solid figure with one circular base and one vertex vertex circular base
A very special curved solid is called a Sphere – you just know it as a ball! A sphere has only one surface or face. It has no edges nor vertices. 19
Review What is a solid figure? flat, closed, plane figure; can’t stand on its own. 3-D; it can stand on its own None of the above
What is this figure called? Cone Rectangular Prism Cube
What is this figure called? Sphere Cube Pyramid
What is this part of the cylinder called? Face Edge Vertex
What is this part of the cone called? Face Edge Vertex
What is this part of the cube called? Face Edge Vertex
GROUP ACTIVITY 26
Complete the table below. Draw 3 objects that represents the figure. Solid Figure Illustration (draw the figure) Number of vertices Number of faces Number of edges Triangular prism Square pyramid Cone Rectangular prism Cube
Solid Figure Illustration (draw the figure) Number of vertices Number of faces Number of edges Triangular prism 6 5 9 Square pyramid 5 5 8 Cone 1 1 0 Rectangular prism 8 6 12 Cube 8 6 12
CONE PRISM PYRAMID CUBE SPHERE / / X / /
Analyze the following riddles. Write and draw your answer. 1. I have 6 flat surfaces. I have 8 corners. All my sides are the same. What am I? 5. I have two flat surfaces. I can roll. My flat surfaces are circles. What am I? 2. I am a solid shape. I have one flat surface. I have one vertex. What am I? 6. I have 3 corners and 3 sides. I am a flat shape. I begin with a t. I end with an e. What am I? 3. have 4 sides. All of my sides are the same. I am on the bottom of a pyramid. What am I? 7. I have 4 corners. I have 4 sides. I am not a square. 2 sides are long and 2 sides are short. What am I? 4. I have no flat surfaces. I have no vertices. I have no edges. I can roll. What am I? 8. I am a solid shape. I have 6 faces. They are rectangles. I have 12 edges. What am I?