The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form.(Please see attached picture)8 square units20 square units24 square units28 square units
Accepted Solution
A:
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