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The surface area of the box will be 112 in²
Explanation
According to the given diagram, the shape of the box is Right Rectangular prism.
The formula for the surface area is :
[tex] A= 2(w*l+h*l+h*w) [/tex] , where [tex] l= [/tex] length, [tex] w= [/tex] width and [tex] h= [/tex] height of the rectangular prism
Given in the diagram that, [tex] l= 8, w=4 , h=2 [/tex]
So, plugging the values into the formula...
[tex] A= 2(4*8+2*8+2*4)\\ \\ A= 2(32+16+8)\\ \\ A=2(56)\\ \\ A=112 [/tex]
So, the surface area of the box is 112 in²