Question

What is the surface area of this design?

Answer 1

Answer: $SA=384\ in^2$

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:

$A=s^2$

Where "s" is the length of any side of the square.

In this case, you can observe in the figure that:

$s=8\ in$

Therefore, substituing that value into the formula, you get that the area of any of the cube's faces is:

$A=(8\ in)^2\\\\A=64\ in^2$

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:

$SA=6(64\ in^2)\\\\SA=384\ in^2$