Respuesta :

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Answer:

The surface area of the net shown is: 88 [tex]in^2[/tex]

Step-by-step explanation:

Break up the different shapes in the net:

Let's take the big square first:

It has a side of 5in and a base of 4in.

We multiply both these values to get 20[tex]in^2[/tex]

Lets look at the small rectangular box now:

It has a side of 3in and a base of 4in.

We multiply both these values to get 12[tex]in^2[/tex]

There are two big squares so we add up their surface areas:

20[tex]in^2[/tex] + 20[tex]in^2[/tex] = 40[tex]in^2[/tex]

There are 4 small rectangular squares so we add up their surface areas:

12[tex]in^2[/tex] + 12[tex]in^2[/tex] + 12[tex]in^2[/tex] + 12[tex]in^2[/tex] = 48[tex]in^2[/tex]

Now we add up the big square and small rectangular squares values:

40[tex]in^2[/tex] + 48[tex]in^2[/tex] = 88[tex]in^2[/tex]

Therefore the answer is 88[tex]in^2[/tex]