It looks like you uploaded a picture that shows two polyhedra and their nets. I'll help you label the edges of the nets with the correct lengths based on the information given.

For Polyhedron A:

This appears to be a rectangular prism (cuboid), and we see that:

• The height is labeled as 10.
• The width is 4.
• The length is 5.

In the net:

• There are four vertical rectangles in the middle, representing the sides of the prism. Each rectangle's height corresponds to the vertical edge (which is 10), and the widths of the rectangles alternate between 5 and 4 depending on which face they represent.
• The two smaller rectangles at the ends represent the top and bottom faces, with dimensions 5 by 4.

For Polyhedron B:

This appears to be a triangular pyramid (tetrahedron), and the sides are labeled:

• The three slanted edges are 13.
• The base has edges of 4 and 10.

In the net:

• The triangular faces that meet at the peak are all isosceles triangles with two edges labeled 13.
• The base triangle connects these with the edges 4 and 10.

Now that I've interpreted the net for both polyhedra, would you like further details on how to place the lengths on each edge?

Here are 5 questions you could explore:

1. What is the formula for calculating the surface area of a rectangular prism using its net?
2. How would you find the surface area of the tetrahedron given its net and edge lengths?
3. How are the different faces of the rectangular prism related in terms of their dimensions?
4. What is the geometric significance of the slanted edges of the tetrahedron being equal?
5. How does the net help in visualizing the 3D shapes and their surface areas?

Tip:

When labeling a net, it's important to ensure that each edge corresponds to the correct face it represents, especially when the faces are different in size, like in the case of the rectangular prism.