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3-D SHAPES
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What is a 3-D Shape? This is a cube
height Depth (Width) length It has 3 dimensions – length, height and depth (width). All 3-D shapes are solids.
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Labeling the Parts of a 3-D Shape
A Cube Edge – a line where two faces meet Face – the flat surface of a 3-D shape A cube has: 6 faces 8 vertices 12 edges Vertex (vertices) – the point where three or more faces meet (corner)
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Prisms a special kind of 3D shape has 2 bases and rectangular sides
Examples of prisms: Hexagonal Prism Triangular Prism Rectangular Prism
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Pyramids a special kind of 3D shape has 1 base and triangular sides
Example: Rectangular Pyramid or Square pyramid
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The Shapes you need to Know
SPHERE SQUARE-BASED PYRAMID CONE CUBE CYLINDER TRIANGULAR PRISM RECTANGULAR PRISM
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Rectangular Prism Key Feature Six faces which are all rectangles.
6 Vertices 8 Edges 12
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Cube Key Feature Six faces which are all squares. Faces 6 Vertices 8
Edges 12
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Triangular Prism Key Feature A prism with a triangular cross-section.
Faces 5 Vertices 6 Edges 9
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Sphere Key Feature Every point on the surface of the sphere is the same distance from the centre. Faces, Vertices and Edges The normal definitions of faces, vertices and edges are not appropriate for a sphere
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Cylinder Key Feature A prism with a circular cross-section.
Faces, Vertices and Edges The normal definitions of faces, vertices and edges are not appropriate for a cylinder. HOWEVER, there are 2 bases.
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Cone Key Feature The point of the cone is directly above the centre of the circular base. Faces, Vertices and Edges The normal definitions of faces, vertices and edges are not appropriate for a cone. HOWEVER, there is 1 base.
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Rectangular (Square-Based) Pyramid
Key Feature Faces 5 A shape with a square base and triangular sides that meet at a point. Vertices 5 Edges 8
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Check this out! 3D Shapes 1 - this is a game of matching pairs.
Can you arrange the shapes below in a chain so that each one shares a face (or faces) that are the same shape as the one that follows it? (The faces do not have to be the same size.)
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Polyhedron vs. Geometric Solid
A polyhedron is in a subclass of geometric solids. The difference is that a polyhedron must have flat faces and straight edges.
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Riddle #1 I am a geometric solid. I have six faces.
All my faces are squares. What am I?
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Riddle #2 I am a geometric solid. I have two surfaces.
My base is formed by a circle. I come to a point at the top. What am I?
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Riddle #3 I am a polyhedron.
I have the fewest number of faces of all the polyhedrons. All of my faces are triangular. I come to a point at the top. What am I?
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Riddle #4 I am a polyhedron. I have two triangular bases.
My other faces are rectangles. Sometimes I am used for keeping doors open. What am I?
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Riddle #5 I am a geometric solid. I have only one surface.
My one surface is curved. I have no base. What am I?
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Riddle Answers 1. Cube 2. Cone 3. triangular pyramid
4. triangular prism 5. sphere
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Websites:
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Nets: A net is a flat pattern that can be folded to make a 3-D shape.
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Net 1
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Net 2
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Net 3
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Net 4
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Net 5
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Net 6
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Net 7
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