1. 3-D SHAPES

2. CCS:
6.G.4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

3. Objectives: Students will be able to:
Identify three dimensional figures
Count faces, vertices, and edges of three-dimensional shapes
Represent three-dimensional figures using nets
Create nets of three-dimensional shapes

4. What is a 3-D Shape? This is a cube
height
depth
length
It has 3 dimensions – length, height and depth.
All 3-D shapes are solids.

5. Labelling 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)

6. The Shapes you need to Know
SPHERE
SQUARE-BASED
PYRAMID
CONE
Click on each shape to find out more about it!
CUBE
CYLINDER
Look at this one first!
TRIANGULAR
PRISM
REGULAR
TETRAHEDRON
CUBOID

7. Cuboid Key Feature Six faces which are all rectangles. Faces 6
Vertices 8
Edges 12
Can you work out how many faces, vertices and edges I have? Click to check your answers…
Click on me to check out other shapes…

8. Cube Key Feature Six faces which are all squares. Faces 6 Vertices 8
Edges 12
Remember to work out how many faces, vertices and edges I have before clicking to check your answers…

9. Triangular Prism What’s a prism? Click here to find out… Key Feature
A prism with a triangular cross-section.
Faces 5
Vertices 6
Edges 9
What’s a prism?
Click here to find out…

10. Prisms A prism is a special kind of 3D shape .
Prisms have two ends which are exactly the same shape and size.
If a prism is sliced parallel to one of its ends then the new exposed ends will be exactly the same as the old ones.
A prism is the same shape and size all the way through.
Examples of prisms:
Hexagonal Prism
Triangular Prism

11. Regular Tetrahedron Key Feature
Four faces which are all equilateral triangles.
Faces 4
Vertices 4
Edges 6

12. Sphere
Key Feature
Every point on the surface of the sphere is the same distance from the centre.
Faces, Vertices and Corners
The normal definitions of faces, vertices and edges are not appropriate for a sphere

13. 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.

14. 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.

15. 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

16. NETS
A net is a 2D pattern that, when put together, forms a 3D polyhedron.

17. Nets of 3D Shapes = A net is very helpful for identifying 3D shapes
Imagine cutting a cardboard box along its edges and laying it out flat. The resulting figure is called a net.
top
back
end
front
bottom =
A net is very helpful for identifying 3D shapes

18. Let’s look at another net.
This is a triangular pyramid.
Notice that all sides lay out to be triangles. =

19. Video Time
Naming a three-dimensional figure
Drawing a net

20. Check this out! HOMEWORK:
Try these games to identify shapes and their Nets
3D Shapes 1 - this is a game of matching pairs.
NETS Identification Game
HOMEWORK:
Geometry Challenge!!!
Reteaching/Practice 9.7 HO