Nets of a Cube
152
3D Shape Venn Diagram
153
Look at the diagrams below. Some of these are nets for cubes, the others are fake.
Using the space shown below (representing all 3D shapes), place the regions as listed
Circle or colour in the nets that would successfully make cubes.
below to make a valid Venn Diagram.
Polyhedra, Regular Polyhedra, Prisms, Antiprisms, Pyramids
You are welcome to add more categories if you can think of any!
3D Shapes
If you added any other categories, please write them down here:
Name
Definition
Nets and Puzzles – Easy
154
Write down the name of shape given to each net when constructed below.
Nets and Puzzles – Medium
155
1. Write down the name of each shape given to each net when constructed below.
Which of the above shapes…
a. Is not a polyhedron?
b. Has 6 faces?
c.
Has 12 edges?
d. Has 4 vertices?
e. Is a platonic solid?
f.
Is a prism?
2. Explain why in some respect, it is impossible to make a true net for a cylinder.
Nets and Puzzles – Hard
156
Nets and Puzzles – Hard
156
1. Write down the name of the shape given to the net when constructed below.
1. Write down the name of the shape given to the net when constructed below.
By labelling edges in the net that are not connected pairs of numbers 1 to 5
By labelling edges in the net that are not connected pairs of numbers 1 to 5
(1, 1 … 2, 2 and so on), identify which edges will connect to which when the shape is
(1, 1 … 2, 2 and so on), identify which edges will connect to which when the shape is
glued together.
glued together.
Write down the number of faces and vertices for the shape above.
Write down the number of faces and vertices for the shape above.
Use the formula 𝑉– 𝐸 + 𝐹 = 2 to calculate the number of edges the shape has.
Use the formula 𝑉– 𝐸 + 𝐹 = 2 to calculate the number of edges the shape has.
2. Give one reason why the net below (if created with flaps) is unable to produce a
2. Give one reason why the net below (if created with flaps) is unable to produce a
cube when constructed.
3. Make a formula for 𝑉 in terms of 𝐹 where 𝑉 is the subject for the number of
cube when constructed.
3. Make a formula for 𝑉 in terms of 𝐹 where 𝑉 is the subject for the number of
vertices in a prism when we have the number of faces. (Hint: Do not include 𝐸, the
vertices in a prism when we have the number of faces. (Hint: Do not include 𝐸, the
number of edges. It should be in the form 𝑉 = something.)
number of edges. It should be in the form 𝑉 = something.)