The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?



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The figure is the net for a rectangular prism What is the surface area of the rectangular prism represented by the net Enter your answer in the box class=

Respuesta :

Surface area of rectangular prism is [tex]238mm^{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 = 198mm^{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 = 20mm^{2}[/tex]

Also there are Two rectangles , so total area = [tex]2(area) = 2(20) = 40mm^{2}[/tex]

Step 3:

Adding area of step 1 and 2 we get : [tex]198mm^{2} + 40mm^{2} = 238mm^{2}[/tex]

Surface area of rectangular prism is [tex]238mm^{2}[/tex].

the answer is 238mm^2