For this case we must find the area of each of the rectangles that form the rectangular prism.
We have then:
Rectangle 1:
[tex]A1 = (2) * (1)
A1 = 2[/tex]
Rectangle 2:
[tex]A2 = (2) * (4)
A2 = 8[/tex]
Rectangle 3:
[tex]A3 = (4) * (1)
A3 = 4[/tex]
Then, the prism area is given by:
[tex]A = 2A1 + 2A2 + 2A3
[/tex]
Substituting values:
[tex]A = 2 (2) + 2 (8) + 2 (4)
A = 4 + 16 + 8
A = 28[/tex]
Answer:
the surface area of the prism is:
28 square units
