1. (2 points) Does there exist a rectangular parallelepiped with integer sides, for which the surface area is numerically equal to the sum of the lengths of all twelve edges?
A number or a short expression. Spacing and $ signs are ignored.
Official solution
Answer: Yes, it exists.
Solution: For example, a 2×2×2 cube fits. Both the surface area and the sum of the lengths of the edges are 24.
Source: NuminaMath-1.5,
licensed Apache-2.0.
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