This question involves identifying which of the given shapes can be formed by unfolding a cube into a net. Let me evaluate each option:

• A (purple shape): This can be folded into a cube since the squares are arranged correctly and allow for all six faces to meet.
• B (blue shape): This shape can also form a cube, as the arrangement of squares is valid and allows for all six sides to fold into a cube.
• C (orange shape): This is not a valid cube net. It cannot fold into a cube since some squares will overlap, and the structure does not close properly.
• D (green shape): This is a valid cube net since the squares can fold together without overlapping, forming a cube.

Valid nets: A, B, and D.

Would you like a detailed explanation of how to fold these shapes into a cube?

Related questions:

1. How can you determine whether a given shape can be folded into a cube?
2. What are the properties of a cube net?
3. How many unique cube nets exist in total?
4. Why is shape C invalid as a cube net?
5. Can there be a shape similar to C that could work as a cube net?

Tip:

When checking if a shape is a valid cube net, ensure that exactly six squares are used, and no squares overlap when folded.