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The answer will depend on the shape (and size) of the box: some have a rectangular cross-section, others circular.
For the same base dimensions (base area) and the same height, the rectangular prism has more surface area.
Given the surface area of a rectangular prism, there are infinitely many rectangular prisms possible.
Given any rectangular prism, there are infinitely many other rectangular prisms with exactly the same surface area.
4 feet