Answer:
132 [tex]cm^{2}[/tex]
Step-by-step explanation:
A rectangular prism has 6 sides in total. We need to find the area of each side and add the areas together to find the total surface area.
Each side has an opposite that's parallel and on the opposite side of the prism, so there are 3 different sides whose areas are to be multiplied by 2.
First: let this side be SIDE A: 5 x 8 = 40 [tex]cm^{2}[/tex]
Second, let this side be SIDE B: 8 x 2 = 16 [tex]cm^{2}[/tex]
And thirdly, let this side be SIDE C: 2 x 5 = 10 [tex]cm^{2}[/tex]
These are the areas of 3 of the the sides of the prism. The other 3 are identical.
Now to find the Total SA, we add all of them together,
SA = 2 x (SIDE A) + 2 x (SIDE B) + 2 x (SIDE C).
= (2 x 40) + (2 x 16) + (2 x 10)
= 80 + 32 + 20
SA = 132 [tex]cm^{2}[/tex]
