Properties of 3-D Shapes

1
Properties of 3-D Shapes

• Cuboid
• Cube
• Prism
• Triangular Prism
• Hexagonal Prism
• Cylinder
• Cone

Sphere Square-Based Pyramid Tetrahedron Octahedron
Dodecahedron Icosahedron
2
Cuboid
Key Feature
Six faces which are all rectangles.
Faces
6
Corners
8
Edges
12
Planes of Symmetry?
three.
If the cuboid has no square faces then it has ...
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
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
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
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.
two.
If the triangle is isosceles then it has ...
one.
If the triangle is scalene then it has ...
6
Hexagonal Prism
Key Feature
A prism with a hexagonal cross-section.
Faces
8
Corners
12
Edges
18
Planes of Symmetry?
If its a regular hexagon then it has seven.
7
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
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
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
Square-Based Pyramid
Key Feature
Faces
5
A shape with a square base and triangular sides
that meet at a point.
Corners
5
Edges
8
Planes of Symmetry?
Four
11
Tetrahedron
Key Feature
Four faces which are all equilateral triangles.
Faces
4
Corners
4
Edges
6
Planes of Symmetry?
Six
12
Octahedron
Key Feature
Eight faces which are all equilateral triangles.
Faces
8
Corners
6
Edges
12
Planes of Symmetry?
Nine
13
Dodecahedron
Key Feature
Twelve faces which are all regular pentagons.
Faces
12
Corners
20
Edges
30
Planes of Symmetry?
Fifteen
14
Icosahedron
Key Feature
Twenty faces which are all equilateral triangles.
Faces
20
Corners
12
Edges
30
Planes of Symmetry?
Fifteen
15
END OF PRESENTATION