Question

What is the surface area of this design?

640 in2
8 in.
384 in2
400 in
256 in2
8 in.
8 in.

Answer 1

Explanation:

Answer 2

Answer:
`SA=384\ in^2`

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`