Inspired by Brian Charlesworth

Geometry Level 4

\[\begin{array}{ l l } (0,0,0), (1,0,0), (1,1,0), (0,1,0), & \text{ bottom face} \\ (1, 0, 1 ), (2, 0, 1), (2, 1, 1), (1, 1, 1) & \text{ top face} \end{array}\]

Consider a square-based prism whose vertices are given as described above. It can be considered as a tilted cube, where the top face is shifted one unit right and one unit up compared to the bottom face.

Does the south (blue) face and the west (green) face have the same surface area?


Inspiration, see reports

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