To determine the surface area of a figure we need to find the area of each face and add them. For a rectangular prism we will have a total of six faces. The formula for the surface area is given as:
[tex]SA=2lw+2lh+2wh[/tex]where l is the length of the base, w is the width of the base and h is the height of the prism. In this case we have that:
• l=7 in
,• w= 2 in
,• h= 10 in
Plugging these values, we have:
[tex]\begin{gathered} SA=2(7)(2)+2(7)(10)+2(2)(10) \\ SA=28+140+40 \\ SA=208 \end{gathered}[/tex]Therefore, the surface area is 208 square inches.