320 square inches
The formula for finding the surface area of a cuboid is expressed as:
[tex]S=2(lw+wh+lh)[/tex]L is the length of the cuboid
W is the width of the cuboid
H is the height of the cuboid
Given the following parameters:
L = 12in
W = 4 in
H = 7 in
Substitute the given parameters into the formula as shown:
[tex]\begin{gathered} S=2\lbrack(12\times4)+(4\times7)+(12\times7)\rbrack \\ S=2(48+28+84) \\ S=2(160) \\ S=320in^2 \end{gathered}[/tex]Hence the surface area of the given shape is 320 square inchess 3