Step-by-step explanation:
A square prism is a three-dimensional cuboid where the base and top are equal squares and the remaining 4 faces are rectangles.
to get the surface area of the package (that square prism) the size of the content inside is irrelevant and only there to confuse us.
the package has a base area of 16 in².
that means it also has a top (or cover) area of the same size : 16 in².
as top and bottom are squares, that means their areas are the square of their side lengths.
therefore, the side length of such a square is
s = sqrt(16) = 4 in
now we know also the dimensions of the 4 rectangles that are the side areas (faces) : 4 in × 4.25 in
the area of such a rectangle is
4 × 4.25 = 17 in²
so, the total surface area is (top and bottom + 4 side areas)
2×16 + 4×17 = 32 + 68 = 100 in²
