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

Nov 16, 2014

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from Numeracysoftware.com that offers free helps for teachers. This powerpoint shows 3d shapes with functional characteristics.
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Page 1: 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

Page 2: 3-D Shapes

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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.

Page 3: 3-D Shapes

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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.

Page 4: 3-D Shapes

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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.

Page 5: 3-D Shapes

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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.

Page 6: 3-D Shapes

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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

Page 7: 3-D Shapes

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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.

Page 8: 3-D Shapes

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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.

Page 9: 3-D Shapes

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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

Page 10: 3-D Shapes

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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

Page 11: 3-D Shapes

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Tetrahedron

Four faces which are all equilateral triangles.

Key Feature

Planes of Symmetry?Six

Faces 4

Corners 4

Edges 6

Page 12: 3-D Shapes

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Octahedron

Eight faces which are all equilateral triangles.

Key Feature

Planes of Symmetry?

Nine

Faces 8

Corners 6

Edges 12

Page 13: 3-D Shapes

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Dodecahedron

Twelve faces which are all regular pentagons.

Key Feature

Planes of Symmetry?Fifteen

Faces 12

Corners 20

Edges 30

Page 14: 3-D Shapes

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Icosahedron

Twenty faces which are all equilateral triangles.

Key Feature

Planes of Symmetry?

Fifteen

Faces 20

Corners 12

Edges 30

Page 15: 3-D Shapes

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END OF PRESENTATION