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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.
The area is not sufficient information to determine the length and width. First of all, there is no reason to suppose that the area is rectangular as opposed to circular or triangular or some other simple or complicated shape. Even if you assume that it is a rectangle, there are infinitely many possible answers.
A pyramid is a polyhedron (many-sided shape) with a polygonal (many-sided area) base and at least three triangular faces that converge at the apex (the top, or highest, point). A pyramid with a triangular base is known as a tetrahedron. In common usage, a pyramid has a square base and four triangular lateral sides (like the stone pyramids in Egypt).
Pyramids have triangular faces, which might count. Bridges utilize triangles extensively in their design due to the structural support that triangles gives. Towers also utilize triangles for the same reason as bridges: they form a strong structure which resists bending and sagging.
Genitals from two humanoid figures mix together into the two humanoid's offspring(s), so if the mother had a cubic nasal appendix, and the father has triangular nasal appendix, the possible result could possibly be that the offspring(s) has a cubical nasal appendix. Genitals are the main reason for a cubical nasal appendix. -Dragon_fighter_13579