Yes.
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Given any rectangular prism, there are infinitely many other rectangular prisms with exactly the same surface area.
Given the surface area of a rectangular prism, there are infinitely many rectangular prisms possible.
For the same base dimensions (base area) and the same height, the rectangular prism has more surface area.
Yes, you can.
No. There is no reason for the surface area of all triangular prisms to be the same always. For example, increasing the length of the prism only adds area; there is nothing to counteract this increase, so the area must be different.The same applies to all prisms and 3-dimensional objects: changing the dimensions can alter the area.