To find the surface area of the box, we need to find the area of each individual rectangle on the net and then sum them up.
For the horizontal rectangle:
- First segment: 3 inches x 8 inches = 24 square inches
- Second segment: 6 inches x 8 inches = 48 square inches
- Fourth segment: 6 inches x 8 inches = 48 square inches
For the vertical rectangle:
- Top segment: 3 inches x 6 inches = 18 square inches
- Third segment: 6 inches x 6 inches = 36 square inches
Now sum up the areas of all the segments:
24 + 48 + 48 + 18 + 36 = 174 square inches
Therefore, the surface area of the box is 174 square inches.