The Lateral area or the total surface area of the prism is 112 [tex]in^{2}[/tex].
The lateral surface area of a rectangular object is the sum of the surface areas of all the sides, which is its total surface area.
According to the question, let us assume,
width w = 2 in
length l = 4 in
height h = 8 in
The lateral surface area is
S = 2lw + 2lh + 2hw since the opposite faces have same dimensions
S = 2×4×2 + 2×4×8 +2×2×8
S = 112 [tex]in^{2}[/tex]
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