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EEJ MAIN Aptitude
QUESTION #10975
Question 1
A tesseract is the 4-dimensional analogue of a cube. A cube has 6 faces, 12 edges, 8 vertices. A tesseract has how many faces (2D flat square faces)?
Correct Answer Explanation
Comparing dimensional analogues:
| Dimension | Shape | Vertices | Edges | Faces (2D) | Cells (3D) |
|---|---|---|---|---|---|
| 1D | Line | 2 | 1 | - | - |
| 2D | Square | 4 | 4 | 1 | - |
| 3D | Cube | 8 | 12 | 6 | 1 |
| 4D | Tesseract | 16 | 32 | 24 | 8 |
A tesseract has 24 square faces — each of the 8 cubic cells contributes 6 faces but each face is shared by 2 cells: \(\dfrac{8 \times 6}{2} = 24\.
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