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**Three-Dimensional Shapes**

Geometry Three-Dimensional Shapes

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**Three-dimensional Shapes (3D)**

These shapes are solid or hollow. They have three dimensions – length, width and height.

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**Face Part of a shape that is flat.(Or curved) E.g. A cube has 6**

of these.

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Edge The line where two faces meet. E.g. A cube has 12 of these.

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**Vertex (Vertices) The place where three or more edges meet.**

This pyramid has 4 of these.

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Cube A three- dimensional shape which has 6 square faces all the same size. Some faces parallel Some edges parallel Some faces perpendicular Some edges perpendicular

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Face of a cube

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2 3 1 5 6 4

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Rectangular Prism A three- dimensional shape which has 6 rectangular faces. Some faces parallel Some edges parallel Some faces perpendicular Some edges perpendicular

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**Faces of a rectangular prism**

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3 1 2 2 4 1

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Cone A three dimensional shape with a circle at its base and a pointed vertex. No parallel faces or edges No perpendicular faces or edges

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Face of a cone

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1

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**Cylinder A three- dimensional shape with circular ends of equal size.**

Some faces parallel Some edges parallel Some faces perpendicular No edges perpendicular

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Face of a cylinder

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1 1 2

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Pyramid A three-dimensional shape which has a polygon for its base and triangular faces which meet at one vertex. E.g. Triangular pyramid Square pyramid Hexagonal pyramid Pentagonal pyramid

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Face of a pyramid

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**Square base pyramid No faces parallel Some edges parallel**

No faces perpendicular Some edges perpendicular

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1 2 1 4 3

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Sphere A perfectly round three-dimensional shape, like a ball. It has only one curved face. No parallel faces or edges No perpendicular faces or edges

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**Real World Representations**

1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A cube 6 faces 12 edges 8 vertices

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**Real World Representations**

1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A sphere 0 faces 0 edges 0 vertices

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**Real World Representations**

1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A square pyramid 5 faces 8 edges 5 vertices

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**Real World Representations**

1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A cylinder 2 faces 0 edges 0 vertices

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**Real World Representations**

1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A rectangular prism 6 faces 12 edges 8 vertices

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**Real World Representations**

1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A cone 1 faces 0 edges 1 vertex

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**Real World Representations**

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**Creating 3- Dimensional Shapes**

Cut out the shape along the outer edge. Fold all the edges of the shape first. Use a small amount of glue on the shaded areas. Carefully fold and press the shaded areas to the back of the faces.

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