Explore Nets of a Prism and a Cube.
In geometry, a net of a polyhedron is an arrangement of non-overlapping edge -joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron. Not all polygons have a net. In this activity, you are going to see how the net structure of a prism and a cube look like.
Match a Net to its Polygon.
Each of the nets below can be assembled into a polyhedron. In the exercise, you’ll be required to match a polygon to its net.
(1.) Name each polyhedron above.
(2.) Explain how you know each net and polyhedron go together.
The applet below has three nets that would form different polyhedra.
(1.) Name the polyhedron that each net would form when assembled.
(2.) Find the surface area of each polyhedron.
(3.) Explain how you found the surface area of each polyhedron. Use the applet below if you need help. (Just click on the double arrow and move the slider.)
Practice on Exercise Questions Involving Nets and Polygons.
(1.) how many different types of polygons can be identified?
(2.) Can this net be assembled into a cube?
(3.) Explain how you know. Label parts of the net with letters or numbers if it helps your explanation.
Here below are two nets. Mai said that both nets can be assembled into the same triangular prism.
(1.) Do you agree?
(2.) Explain or show your reasoning.
Which of the following nets can be assembled into a rectangular prism.
For each net below, decide if it can be folded into a triangular prism.