Transcript Prperties of 3-D Shapes

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Properties of 3-D Shapes
Cuboid
Cube
Prism
Triangular Prism
Hexagonal Prism
Cylinder
Cone
Sphere
Square-Based Pyramid
Tetrahedron
Octahedron
Dodecahedron
Icosahedron
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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 ...
If two opposite faces are square then it has ...
three.
five.
Is a Cuboid a Prism?
Yes, because it has a rectangular cross-section throughout
its length.
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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.
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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.
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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 ...
If the triangle is isosceles then it has ...
If the triangle is scalene then it has ...
four.
two.
one.
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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.
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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
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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
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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
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Square-Based Pyramid
Key Feature
A shape with a square base and
triangular sides that meet at a point.
Planes of Symmetry?
Four
Faces
5
Corners
5
Edges
8
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Tetrahedron
Key Feature
Four faces which are all equilateral
triangles.
Faces
4
Corners
4
Edges
6
Planes of Symmetry?
Six
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Octahedron
Key Feature
Eight faces which are all equilateral
triangles.
Faces
8
Corners
6
Edges
12
Planes of Symmetry?
Nine
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Dodecahedron
Key Feature
Twelve faces which are all regular
pentagons.
Faces
12
Corners
20
Edges
30
Planes of Symmetry?
Fifteen
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Icosahedron
Key Feature
Twenty faces which are all
equilateral triangles.
Faces
20
Corners
12
Edges
30
Planes of Symmetry?
Fifteen
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