Question

What is the surface area of this design? Please show work!

Answer 1

There are 8 faces on the figure.
There are two of the same sides so we can multiply that by 2. That side equals 76 in. 76 x 2 = 152.
Then, there is another side that equals 4 x 4 which is 24.
Another side equals 4 x 6 which is 24.
Another one equals 6 x 6 which is 36.
Another side equals 6 x 6 which also equals 36.
Another side equals 10 x 6 which is 60.
The last side is 10 x 6 which equals 60.
Which should add up to 392 in.
`x^(2)`

Answer 2

The answer is 392

Explanation:

Divide the figure into two smaller shapes.

The area of the smaller rectangle:

4x6 + 4x6 + 4x6 + 4x4 + 4x4 = 104

Area of the bigger rectangle: (we do not count the sides that overlap between the figures as we are only finding the area of the SURFACE)

10x6 + 10x6 + 10x6 + 6x6 + 6x6 + 6x6 = 288

288 + 104 = 392