Classifying 3D shapes

Classifying 3D shapes

Lessons

In this lesson, we will learn:

  • That 3D shapes are shapes with 3 dimensions
  • The properties/attributes of 3D shape (face, vertex, edge) and how to count them
  • The different types of 3D shapes: prism shapes, pyramid shapes, and curved surface shapes
  • All the subtypes of 3D shapes:
    • triangular prism, rectangular prism, cube, pentagonal prism, hexagonal prism
    • triangular pyramid, rectangular pyramid, square pyramid, pentagonal pyramid, hexagonal pyramid
    • cylinder, cone, sphere

Notes:

  • 3-dimensional shapes (3D shapes) are also called “solid figures” or “space figures”
    • 1-dimensional (1D) is a straight line, 2-dimensional (2D) is a flat shape, and 3-dimensional (3D) is a solid figure like a cube in real life.
    • Recall that dimensions are different planes or directions of measurement

  • There are three properties for 3D shapes:
  • \qquad \qquad 1. Faces
    \qquad \qquad 2. Edges
    \qquad \qquad 3. Vertices (singular: vertex)
    • Faces are sides; the flat outer surfaces enclosed by lines
    • Edges are lines where faces meet; touching sides
    • Vertices are corners; two or more edges meet/converge at a vertex

3D Shapes and Volume: Classifying 3D Shapes

  • There are three types for 3D shapes:
  • \qquad \qquad 1. Prisms
    \qquad \qquad 2. Pyramids
    \qquad \qquad 3. Curved surface shapes

  • Prisms are 3D shapes made by extending a polygon base (shapes with straight edges only)
    • All other faces, besides the base, are rectangles
    • All prisms have at least 2 pairs of parallel faces
    • A cube is a special prism (rectangular prism) where all edges are the exact same length (all faces are squares)

    3D Shapes and Volume: Classifying 3D Shapes

    • Pyramids are 3D shapes with only one base
      • All other faces, besides the base, are triangles
      • All the triangle faces converge and connect at a top point (common vertex)

    3D Shapes and Volume: Classifying 3D Shapes

    • Curved surface shapes are 3D shapes with curved surfaces
      • These shapes usually have a circle shape as the base
      • A cylinder is not a “circular prism” because prisms are made out of extending polygons only (a circle is not a polygon)

    3D Shapes and Volume: Classifying 3D Shapes

    • There are special formulas which show the rules between the number of sides in the base shape and the number of faces (f) /vertices (Ve) /edges (E) for a 3D shape:

    3D Shapes and Volume: Classifying 3D Shapes
    • Introduction
      Introduction to Classifying 3D Shapes:
      a)
      What are 3D shapes and what are their properties?

      b)
      Introduction to the main three types of 3D shapes and a review on 2D shapes

      c)
      Prisms: what are the different subtypes and how do you name them?

      d)
      Pyramids: what are the different subtypes and how do you name them?

      e)
      Curved surfaces shapes: what are the different subtypes and how do you name them?


    • 1.
      Naming 3D Shapes
      Write the name of the 3D shape.
      a)

      3D Shapes and Volume: Classifying 3D Shapes

      b)

      3D Shapes and Volume: Classifying 3D Shapes

      c)

      3D Shapes and Volume: Classifying 3D Shapes

      d)

      3D Shapes and Volume: Classifying 3D Shapes


    • 2.
      Identifying 3D Shapes by Name
      Which 3D shape matches with the name shown below? Choose a multiple choose option.
      a)

      3D Shapes and Volume: Classifying 3D Shapes

      b)

      3D Shapes and Volume: Classifying 3D Shapes

      c)

      3D Shapes and Volume: Classifying 3D Shapes

      d)

      3D Shapes and Volume: Classifying 3D Shapes


    • 3.
      Faces, Vertices, and Edges of 3D Shapes
      For each 3D shape, write the number of faces, vertices, and edges.
      a)

      3D Shapes and Volume: Classifying 3D Shapes

      b)

      3D Shapes and Volume: Classifying 3D Shapes

      c)

      3D Shapes and Volume: Classifying 3D Shapes

      d)

      3D Shapes and Volume: Classifying 3D Shapes

      e)

      3D Shapes and Volume: Classifying 3D Shapes

      f)

      3D Shapes and Volume: Classifying 3D Shapes


    • 4.
      Relationship between 3D Shapes and Face/Vertex/Edge Attributes
      Use the table for the attributes of different 3D shapes to answer.
      a)
      What are the formulas for finding a pyramid's number of: faces, vertices, and edges - from using the number of sides in the base?
      3D Shapes and Volume: Classifying 3D Shapes

      b)
      What are the formulas for finding a prism's number of: faces, vertices, and edges - from using the number of sides in the base?
      3D Shapes and Volume: Classifying 3D Shapes

      c)
      Using the formulas found in parts a and b, write the number of faces, vertices and edges for a hexagonal pyramid and a hexagonal prism