Surface area of rectangular prism is [tex]238\ mm^{2}[/tex] .
Step-by-step explanation:
We have net for a rectangular prism. Surface area of rectangular prism is given by:
Step 1:
We need to calculate area of material needed as shown in figure above, Let's first concentrate on vertical rectangle have width 11 mm and length ( 5 + 4 + 5 +4 ) mm = 18 mm. We know that ,
area of rectangle = length × width
⇒ [tex]area = length(width)\\area = 11(18)\\area = 198\ mm^{2}[/tex]
Step 2:
Now only two horizontal small rectangles are left with dimensions as length = 4 mm and width = 5 mm.
∴ area of rectangle = length × width
⇒ [tex]area = length(width)\\area = 4(5)\\area = 20\ mm^{2}[/tex]
Also there are Two rectangles , so
total area = [tex]2(area) = 2(20) = 40\ mm^{2}[/tex]
Step 3:
Adding area of step 1 and 2 we get : [tex]198\ mm^{2} + 40\ mm^{2} = 238\ mm^{2}[/tex]
∴ Surface area of rectangular prism is [tex]238\ mm^{2}[/tex].
