Use the image to answer the question.

An illustration shows two rectangles intersecting, one is oriented horizontally and the other is oriented vertically. Their dimensions are labeled are they are divided into segments. The dimensions of the horizontal rectangle are as follows: It is divided into four segments. The first segment is labeled 3 inches horizontal and 8 inches vertical. The second segment is labeled 6 inches horizontal. The third segment is the intersection common area and is not labeled. The fourth segment is 6 inches horizontal and 8 inches vertical. The dimensions of the vertical rectangle are as follows: It is divided into three segments. The top segment is labeled 3 inches horizontal and 6 inches vertical. The second segment is the intersection common area and is not labeled. The third segment is labeled 6 inches vertical.

A necklace comes in a jewelry box whose net is shown in this image. What is the surface area of the box?

(1 point)
__in.2

1 answer

To find the surface area of the box, we need to calculate the area of each of the sides and then add them all together.

1. Top: 6 inches x 3 inches = 18 square inches
2. Bottom: 6 inches x 3 inches = 18 square inches
3. Front: 6 inches x 8 inches = 48 square inches
4. Back: 6 inches x 8 inches = 48 square inches
5. Left side: 8 inches x 3 inches = 24 square inches
6. Right side: 8 inches x 3 inches = 24 square inches

Adding all these areas together, we get:
18 + 18 + 48 + 48 + 24 + 24 = 180 square inches

So, the surface area of the jewelry box is 180 square inches.