Question

Which option(s) can be folded to form the cube shown?

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is B, C

The problem requires determining which flat net configurations can be folded into a cube. The key here is understanding the relationships and relative positions of the cube faces when folded.

We are given several options as possible nets:

,

,

,

The correct answers given are:

,

Let us discuss why these specific options can form a cube:

1. **Option 2**: This configuration contains three pairs of adjacent squares that will become adjacent faces of a cube: top, bottom, and side. When folded, each pair forms a seam of the cube, perfectly matching the edges.
2. **Option 3**: Similarly, this net can be folded into a cube by first folding along the seams connecting adjacent squares, ensuring that opposite squares become the top and bottom of the cube.

These solutions are derived by visualizing how each edge connects and ensuring all connected faces will result in a closed three-dimensional shape with the appropriate adjacent relationships.