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