Question

nets of polyhedra
for each problem, identify the polyhedron that can be assembled from the given net.
1)
2)
3)
4)
5)
6)

Explanation:

Step1: Recall polyhedron net - cube has 6 square faces

A cube can be assembled from a net of 6 squares. But none of these are cube - nets.

Step2: Identify net 1

Net 1 has two square bases and 4 triangular faces. It is a square - based pyramid.

Step3: Identify net 2

Net 2 has two triangular bases and 3 rectangular lateral faces. It is a triangular prism.

Step4: Identify net 3

Net 3 is the same as net 2, a triangular prism with two triangular bases and 3 rectangular lateral faces.

Step5: Identify net 4

Net 4 has two square bases and 4 triangular faces. It is a square - based pyramid.

Step6: Identify net 5

Net 5 has 4 triangular faces. It is a triangular pyramid (tetrahedron).

Step7: Identify net 6

Net 6 has 6 square faces. It is a cube.

Answer:

1. Square - based pyramid
2. Triangular prism
3. Triangular prism
4. Square - based pyramid
5. Triangular pyramid (tetrahedron)
6. Cube