Question

Four solid pieces P, Q, R and S are arranged to form a cube. Which of the cubes shown in the options is/are NOT possible?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is B, D

The problem involves determining which configurations of the four pieces P, Q, R, and S can be arranged to form a cube. This is a classic problem of spatial visualization that tests one's ability to mentally manipulate and visualize 3D objects.

Here's a step-by-step analysis of each figure (option) to decide which configurations are not possible:

• **Figure 1**: Analyze the arrangement of the pieces in the first figure. Check the spatial layout and alignment of the pieces. In this case, apply logical assessment to determine if all pieces fit to form a perfect cube. It appears possible.
• **Figure 2**: Examine the pieces' configuration in the second figure. Notice the alignment and mesh of the pieces. Upon close inspection, it seems there are incompatibilities or gaps in this arrangement, which means this configuration is not possible to form a perfect cube.
• **Figure 3**: Investigate the third configuration. Look at how the pieces are laid out to form the cube. This arrangement appears feasible as all pieces align and fit well to make a complete cube.
• **Figure 4**: Scrutinize the arrangement in the fourth figure. There might be issues with fitting all parts perfectly, resulting in an impossible configuration due to misalignment or mismatch of the pieces.

Conclusion: Based on the analysis, the following figures are not capable of forming a complete cube.

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