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Answers from Monday
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All Things 3D Shape
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L.O: I can recognise and describe
3D shapes.
• I can identify and describe the properties of 3D shapes and their nets.
• I can identify and describe a wide range of 3D shapes.
• I can compare and classify 3D shapes.
• I can reason about 3D shapes
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How Many Faces?
6 4 8
How many faces does this 3D shape have? Choose and answer and at top of next slide will show answer .
A face is a 2D shape that makes up one
surface of a 3D shape
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How Many Faces?
6 3 10
How many faces does this 3D shape have? Choose and answer and at top of next slide will show answer
6
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How Many Faces?
5 6 4
How many faces does this 3D shape have? Choose and answer and at top of next slide will show answer
6
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How Many Faces?
5 6 4
How many faces does this 3D shape have? Choose and answer and at top of next slide will show answer .
5
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How Many Faces?
7 9 5
How many faces does this 3D shape have? Choose and answer and at top of next slide will show answer .
5
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How Many Faces?
8 12 10
How many faces does this 3D shape have? Choose and answer and at top of next slide will show answer
7
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Identifying 3D Shapes
Which of these 3D shapes can you name and describe, write down how many, that if I asked you, you could describe to me?
8
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Revising 3D shapes
Cylinder • 3 faces • 2 edges • 0 vertices
Hexagonal Prism • 8 faces • 18 edges • 12 vertices
Cube • 6 faces • 12 edges • 8 vertices
Pentagonal Prism • 7 faces • 15 edges • 10 vertices
An edge is where two faces meet
A vertex is the point or corner
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Triangular Prism • 5 faces • 9 edges • 6 vertices
Cuboid • 6 faces • 12 edges • 8 vertices
Square-based pyramid • 5 faces • 8 edges • 5 vertices
Octahedron • 8 faces • 12 edges • 6 vertices
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3D shapes are made up from a 2D net – can you match them up ?
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A E
B
C
D
F
G
H
1
2
3
4
6
7
8
5
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The Platonic Solids Why do you this these five 3D shapes are called the Platonic Solids?
Tetrahedron Cube Octahedron Icosahedron Dodecahedron
• Each one is a polyhedron (a solid with flat faces).
• They are special because every face is a regular polygon of the same size and shape.
• They are named after Plato, a famous Greek philosopher and mathematician.
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Euler’s Rule Swiss mathematician Leonhard Euler (1707 - 1783) discovered a mathematical equation relating to the properties of 3D shapes:
Number of faces
Number of Vertices
Number of Edges
+ - = 2
Choose a 5 3D shapes and prove that the equation is correct!
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Any extra time lesson (or just if you want too) go over any answers you got wrong yesterday and work with an adult (or email me/school) to see
where you went wrong!