Question

Shown on the left is the development of a cube. Which of the options can be created when the shown development is folded?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is A, C

The provided image is a net of a cube from which we need to determine which 3D cubes can be formed by folding it. Let's analyze the net and the options:

• Examine the relationships between adjacent panels in the cube's net. A cube has opposite faces that should never be adjacent on its net.
• Look at how each face aligns when folded; determine which faces are opposite and which are adjacent.

Analysis:

• Fig 1: Check the diagram's face arrangement; it aligns perfectly with the net configuration showing the correct opposite faces folding correctly to form a cube.
• Fig 2: Test the alignment; upon folding, the expected opposite faces are adjacent here, which is incorrect.
• Fig 3: Like Fig 1, this configuration maintains correct alignment in terms of opposite faces within the cube net.
• Fig 4: This option also results in faces being adjacent that should not be, which invalidates its possibility.

Thus, the cubes represented by

and

can be successfully formed from the given net. These options correctly preserve the spatial relationships required for cube formation.