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      Properties of 3-D Shapes
Cuboid                Sphere
Cube                  Square-Based Pyramid
Prism                 Tetrahedron
Triangular Prism      Octahedron
Hexagonal Prism       Dodecahedron
Cylinder              Icosahedron
Cone
www.numeracysoftware.com

                         Cuboid
                       Key Feature
                       Six faces which are all rectangles.

                       Faces         6
                       Corners       8
                       Edges       12
Planes of Symmetry?
If the cuboid has no square faces then it has ...   three.
If two opposite faces are square then it has ...    five.
Is a Cuboid a Prism?
Yes, because it has a rectangular cross-section throughout
its length.
www.numeracysoftware.com

                         Cube

                           Key Feature
                           Six faces which are all squares.

                           Faces        6
                           Corners      8
                           Edges       12
Planes of Symmetry?
Nine
Is a Cube a Prism?
Yes, because it has a square cross-section throughout its
length.
www.numeracysoftware.com

                          Prism

                          Key Feature
                          The shape of its cross-section is the
                          same throughout its length.

                          Faces, Corners, Edges?
                          It depends what sort of prism it is.

                          Planes of Symmetry?
                          It depends what sort of prism it is.

Examples of prisms include triangular prism, hexagonal prism,
cuboid, cube and cylinder.
www.numeracysoftware.com

                   Triangular Prism
                          Key Feature
                          A prism with a triangular cross-section.

                          Faces          5
                          Corners        6
                          Edges          9

Planes of Symmetry?
If the triangle is equilateral then it has ...   four.
If the triangle is isosceles then it has ...     two.
If the triangle is scalene then it has ...       one.
www.numeracysoftware.com

Hexagonal Prism

        Key Feature
        A prism with a hexagonal
        cross-section.

        Faces         8
        Corners     12
        Edges       18

        Planes of Symmetry?
        If it’s a regular hexagon then it has
        seven.
www.numeracysoftware.com

      Cylinder

        Key Feature
        A prism with a circular cross-section.

        Faces, Corners and Edges
        The normal definitions of faces,
        corners and edges are not
        appropriate for a cylinder.

        Planes of Symmetry?
        Infinite
www.numeracysoftware.com

        Cone

         Key Feature
         The point of the cone is directly
         above the centre of the circular
         base.

         Faces, Corners and Edges
         The normal definitions of faces,
         corners and edges are not
         appropriate for a cone.

         Planes of Symmetry?
         Infinite
www.numeracysoftware.com

                        Sphere

                             Key Feature
                             Every point on the surface of the
                             sphere is the same distance
                             from the centre.

Faces, Edges and Corners
The normal definitions of faces, corners and edges are not
appropriate for a sphere

Planes of Symmetry?
Infinite
www.numeracysoftware.com

            Square-Based Pyramid




Key Feature                              Faces     5
A shape with a square base and           Corners   5
triangular sides that meet at a point.
                                         Edges     8
Planes of Symmetry?
Four
www.numeracysoftware.com

   Tetrahedron
     Key Feature
     Four faces which are all equilateral
     triangles.

     Faces        4
     Corners      4
     Edges        6

     Planes of Symmetry?
     Six
www.numeracysoftware.com

    Octahedron
     Key Feature
     Eight faces which are all equilateral
     triangles.

     Faces         8
     Corners       6
     Edges       12

     Planes of Symmetry?
     Nine
www.numeracysoftware.com

  Dodecahedron
        Key Feature
        Twelve faces which are all regular
        pentagons.

        Faces       12
        Corners     20
        Edges       30

        Planes of Symmetry?
        Fifteen
www.numeracysoftware.com

   Icosahedron
         Key Feature
         Twenty faces which are all
         equilateral triangles.

         Faces      20
         Corners    12
         Edges      30

         Planes of Symmetry?
         Fifteen
www.numeracysoftware.com




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3 d shapes

  • 1. www.numeracysoftware.com Properties of 3-D Shapes Cuboid Sphere Cube Square-Based Pyramid Prism Tetrahedron Triangular Prism Octahedron Hexagonal Prism Dodecahedron Cylinder Icosahedron Cone
  • 2. www.numeracysoftware.com Cuboid Key Feature Six faces which are all rectangles. Faces 6 Corners 8 Edges 12 Planes of Symmetry? If the cuboid has no square faces then it has ... three. If two opposite faces are square then it has ... five. Is a Cuboid a Prism? Yes, because it has a rectangular cross-section throughout its length.
  • 3. www.numeracysoftware.com Cube Key Feature Six faces which are all squares. Faces 6 Corners 8 Edges 12 Planes of Symmetry? Nine Is a Cube a Prism? Yes, because it has a square cross-section throughout its length.
  • 4. www.numeracysoftware.com Prism Key Feature The shape of its cross-section is the same throughout its length. Faces, Corners, Edges? It depends what sort of prism it is. Planes of Symmetry? It depends what sort of prism it is. Examples of prisms include triangular prism, hexagonal prism, cuboid, cube and cylinder.
  • 5. www.numeracysoftware.com Triangular Prism Key Feature A prism with a triangular cross-section. Faces 5 Corners 6 Edges 9 Planes of Symmetry? If the triangle is equilateral then it has ... four. If the triangle is isosceles then it has ... two. If the triangle is scalene then it has ... one.
  • 6. www.numeracysoftware.com Hexagonal Prism Key Feature A prism with a hexagonal cross-section. Faces 8 Corners 12 Edges 18 Planes of Symmetry? If it’s a regular hexagon then it has seven.
  • 7. www.numeracysoftware.com Cylinder Key Feature A prism with a circular cross-section. Faces, Corners and Edges The normal definitions of faces, corners and edges are not appropriate for a cylinder. Planes of Symmetry? Infinite
  • 8. www.numeracysoftware.com Cone Key Feature The point of the cone is directly above the centre of the circular base. Faces, Corners and Edges The normal definitions of faces, corners and edges are not appropriate for a cone. Planes of Symmetry? Infinite
  • 9. www.numeracysoftware.com Sphere Key Feature Every point on the surface of the sphere is the same distance from the centre. Faces, Edges and Corners The normal definitions of faces, corners and edges are not appropriate for a sphere Planes of Symmetry? Infinite
  • 10. www.numeracysoftware.com Square-Based Pyramid Key Feature Faces 5 A shape with a square base and Corners 5 triangular sides that meet at a point. Edges 8 Planes of Symmetry? Four
  • 11. www.numeracysoftware.com Tetrahedron Key Feature Four faces which are all equilateral triangles. Faces 4 Corners 4 Edges 6 Planes of Symmetry? Six
  • 12. www.numeracysoftware.com Octahedron Key Feature Eight faces which are all equilateral triangles. Faces 8 Corners 6 Edges 12 Planes of Symmetry? Nine
  • 13. www.numeracysoftware.com Dodecahedron Key Feature Twelve faces which are all regular pentagons. Faces 12 Corners 20 Edges 30 Planes of Symmetry? Fifteen
  • 14. www.numeracysoftware.com Icosahedron Key Feature Twenty faces which are all equilateral triangles. Faces 20 Corners 12 Edges 30 Planes of Symmetry? Fifteen