Answer: [tex]SA=384\ in^2[/tex]
Step-by-step explanation:
The missing figure is attached.
You can notice that the design is a cube.
A cube has 6 faces which are all squares.
The area of a square can be calculated with this formula:
[tex]A=s^2[/tex]
Where "s" is the length of any side of the square.
In this case, you can observe in the figure that:
[tex]s=8\ in[/tex]
Therefore, substituing that value into the formula, you get that the area of any of the cube's faces is:
[tex]A=(8\ in)^2\\\\A=64\ in^2[/tex]
Finally, in order to find the surface area of the cube, you need to multiply the area of a face calculated above, by 6.
Therefore, the surface area of the design is:
[tex]SA=6(64\ in^2)\\\\SA=384\ in^2[/tex]
