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Properties of 3-D ShapesPowerPoint Presentation

Properties of 3-D Shapes

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### Properties of 3-D Shapes

Sphere

Square-Based Pyramid

Tetrahedron

Octahedron

Dodecahedron

Icosahedron

Cuboid

Cube

Prism

Triangular Prism

Hexagonal Prism

Cylinder

Cone

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.

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.

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.

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 ...

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.

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

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

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

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

Tetrahedron

Key Feature

Four faces which are all equilateral triangles.

Faces

4

Corners

4

Edges

6

Planes of Symmetry?

Six

Octahedron

Key Feature

Eight faces which are all equilateral triangles.

Faces

8

Corners

6

Edges

12

Planes of Symmetry?

Nine

Dodecahedron

Key Feature

Twelve faces which are all regular pentagons.

Faces

12

Corners

20

Edges

30

Planes of Symmetry?

Fifteen

Icosahedron

Key Feature

Twenty faces which are all equilateral triangles.

Faces

20

Corners

12

Edges

30

Planes of Symmetry?

Fifteen

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