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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Surface area of rectangular prism is .

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

⇒

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

⇒

Also there are Two rectangles , so total area =

Step 3:

Adding area of step 1 and 2 we get :

∴ Surface area of rectangular prism is .

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step-by-step explanation:

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.